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Finding the Fourth Proportional to 257.06, 354.66 and 152.14

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Solution

The fourth proportional to 257.06, 354.66 and 152.14 is: 209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 354.66 = 152.14 : x
  2. Step 2: Convert to fraction form
    257.06/354.66 = 152.14/x
  3. Step 3: Cross multiply
    257.06x = 354.66 × 152.14
  4. Step 4: Simplify right side
    257.06x = 53,957.97
  5. Step 5: Solve for x
    x = 53,957.97/257.06
  6. Step 6: Final answer
    x = 209.90

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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.