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Finding the Fourth Proportional to 521.96, 783.06 and 156.78

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Solution

The fourth proportional to 521.96, 783.06 and 156.78 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.96 : 783.06 = 156.78 : x
  2. Step 2: Convert to fraction form
    521.96/783.06 = 156.78/x
  3. Step 3: Cross multiply
    521.96x = 783.06 × 156.78
  4. Step 4: Simplify right side
    521.96x = 122,768.15
  5. Step 5: Solve for x
    x = 122,768.15/521.96
  6. Step 6: Final answer
    x = 235.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.