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Finding the Fourth Proportional to 147.18, 220.47 and 142.03

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Solution

The fourth proportional to 147.18, 220.47 and 142.03 is: 212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.18 : 220.47 = 142.03 : x
  2. Step 2: Convert to fraction form
    147.18/220.47 = 142.03/x
  3. Step 3: Cross multiply
    147.18x = 220.47 × 142.03
  4. Step 4: Simplify right side
    147.18x = 31,313.10
  5. Step 5: Solve for x
    x = 31,313.10/147.18
  6. Step 6: Final answer
    x = 212.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.