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Finding the Fourth Proportional to 258.47, 356.65 and 147.95

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Solution

The fourth proportional to 258.47, 356.65 and 147.95 is: 204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.47 : 356.65 = 147.95 : x
  2. Step 2: Convert to fraction form
    258.47/356.65 = 147.95/x
  3. Step 3: Cross multiply
    258.47x = 356.65 × 147.95
  4. Step 4: Simplify right side
    258.47x = 52,764.21
  5. Step 5: Solve for x
    x = 52,764.21/258.47
  6. Step 6: Final answer
    x = 204.14

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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.