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Finding the Fourth Proportional to 148.63, 204.62 and 129.21

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Solution

The fourth proportional to 148.63, 204.62 and 129.21 is: 177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.63 : 204.62 = 129.21 : x
  2. Step 2: Convert to fraction form
    148.63/204.62 = 129.21/x
  3. Step 3: Cross multiply
    148.63x = 204.62 × 129.21
  4. Step 4: Simplify right side
    148.63x = 26,438.30
  5. Step 5: Solve for x
    x = 26,438.30/148.63
  6. Step 6: Final answer
    x = 177.89

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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.