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Finding the Fourth Proportional to 257.50, 355.24 and 152.54

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Solution

The fourth proportional to 257.50, 355.24 and 152.54 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.50 : 355.24 = 152.54 : x
  2. Step 2: Convert to fraction form
    257.50/355.24 = 152.54/x
  3. Step 3: Cross multiply
    257.50x = 355.24 × 152.54
  4. Step 4: Simplify right side
    257.50x = 54,188.31
  5. Step 5: Solve for x
    x = 54,188.31/257.50
  6. Step 6: Final answer
    x = 210.44

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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.