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Finding the Fourth Proportional to 147.02, 219.14 and 136.08

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Solution

The fourth proportional to 147.02, 219.14 and 136.08 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 219.14 = 136.08 : x
  2. Step 2: Convert to fraction form
    147.02/219.14 = 136.08/x
  3. Step 3: Cross multiply
    147.02x = 219.14 × 136.08
  4. Step 4: Simplify right side
    147.02x = 29,820.57
  5. Step 5: Solve for x
    x = 29,820.57/147.02
  6. Step 6: Final answer
    x = 202.83

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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.