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Finding the Fourth Proportional to 257.24, 354.78 and 159.02

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Solution

The fourth proportional to 257.24, 354.78 and 159.02 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.24 : 354.78 = 159.02 : x
  2. Step 2: Convert to fraction form
    257.24/354.78 = 159.02/x
  3. Step 3: Cross multiply
    257.24x = 354.78 × 159.02
  4. Step 4: Simplify right side
    257.24x = 56,417.12
  5. Step 5: Solve for x
    x = 56,417.12/257.24
  6. Step 6: Final answer
    x = 219.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.