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Finding the Fourth Proportional to 521.93, 783.02 and 156.76

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Solution

The fourth proportional to 521.93, 783.02 and 156.76 is: 235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.93 : 783.02 = 156.76 : x
  2. Step 2: Convert to fraction form
    521.93/783.02 = 156.76/x
  3. Step 3: Cross multiply
    521.93x = 783.02 × 156.76
  4. Step 4: Simplify right side
    521.93x = 122,746.22
  5. Step 5: Solve for x
    x = 122,746.22/521.93
  6. Step 6: Final answer
    x = 235.18

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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.