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Finding the Fourth Proportional to 147.18, 219.34 and 136.50

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Solution

The fourth proportional to 147.18, 219.34 and 136.50 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.18 : 219.34 = 136.50 : x
  2. Step 2: Convert to fraction form
    147.18/219.34 = 136.50/x
  3. Step 3: Cross multiply
    147.18x = 219.34 × 136.50
  4. Step 4: Simplify right side
    147.18x = 29,939.91
  5. Step 5: Solve for x
    x = 29,939.91/147.18
  6. Step 6: Final answer
    x = 203.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.