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Finding the Fourth Proportional to 148.50, 205.20 and 129.06

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Solution

The fourth proportional to 148.50, 205.20 and 129.06 is: 178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.50 : 205.20 = 129.06 : x
  2. Step 2: Convert to fraction form
    148.50/205.20 = 129.06/x
  3. Step 3: Cross multiply
    148.50x = 205.20 × 129.06
  4. Step 4: Simplify right side
    148.50x = 26,483.11
  5. Step 5: Solve for x
    x = 26,483.11/148.50
  6. Step 6: Final answer
    x = 178.34

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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.