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Finding the Fourth Proportional to 257.90, 355.89 and 147.36

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Solution

The fourth proportional to 257.90, 355.89 and 147.36 is: 203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.90 : 355.89 = 147.36 : x
  2. Step 2: Convert to fraction form
    257.90/355.89 = 147.36/x
  3. Step 3: Cross multiply
    257.90x = 355.89 × 147.36
  4. Step 4: Simplify right side
    257.90x = 52,443.95
  5. Step 5: Solve for x
    x = 52,443.95/257.90
  6. Step 6: Final answer
    x = 203.35

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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.