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Finding the Fourth Proportional to 147.85, 222.26 and 147.13

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Solution

The fourth proportional to 147.85, 222.26 and 147.13 is: 221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.85 : 222.26 = 147.13 : x
  2. Step 2: Convert to fraction form
    147.85/222.26 = 147.13/x
  3. Step 3: Cross multiply
    147.85x = 222.26 × 147.13
  4. Step 4: Simplify right side
    147.85x = 32,700.38
  5. Step 5: Solve for x
    x = 32,700.38/147.85
  6. Step 6: Final answer
    x = 221.17

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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.