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Finding the Fourth Proportional to 257.54, 355.40 and 147.01

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Solution

The fourth proportional to 257.54, 355.40 and 147.01 is: 202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.54 : 355.40 = 147.01 : x
  2. Step 2: Convert to fraction form
    257.54/355.40 = 147.01/x
  3. Step 3: Cross multiply
    257.54x = 355.40 × 147.01
  4. Step 4: Simplify right side
    257.54x = 52,247.35
  5. Step 5: Solve for x
    x = 52,247.35/257.54
  6. Step 6: Final answer
    x = 202.87

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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.