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Finding the Fourth Proportional to 531.72, 797.58 and 146.97

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Solution

The fourth proportional to 531.72, 797.58 and 146.97 is: 220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.72 : 797.58 = 146.97 : x
  2. Step 2: Convert to fraction form
    531.72/797.58 = 146.97/x
  3. Step 3: Cross multiply
    531.72x = 797.58 × 146.97
  4. Step 4: Simplify right side
    531.72x = 117,220.33
  5. Step 5: Solve for x
    x = 117,220.33/531.72
  6. Step 6: Final answer
    x = 220.46

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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.