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Finding the Fourth Proportional to 521.34, 781.78 and 156.06

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Solution

The fourth proportional to 521.34, 781.78 and 156.06 is: 234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.34 : 781.78 = 156.06 : x
  2. Step 2: Convert to fraction form
    521.34/781.78 = 156.06/x
  3. Step 3: Cross multiply
    521.34x = 781.78 × 156.06
  4. Step 4: Simplify right side
    521.34x = 122,004.59
  5. Step 5: Solve for x
    x = 122,004.59/521.34
  6. Step 6: Final answer
    x = 234.02

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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.