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Finding the Fourth Proportional to 147.67, 221.04 and 135.07

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Solution

The fourth proportional to 147.67, 221.04 and 135.07 is: 202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.67 : 221.04 = 135.07 : x
  2. Step 2: Convert to fraction form
    147.67/221.04 = 135.07/x
  3. Step 3: Cross multiply
    147.67x = 221.04 × 135.07
  4. Step 4: Simplify right side
    147.67x = 29,855.55
  5. Step 5: Solve for x
    x = 29,855.55/147.67
  6. Step 6: Final answer
    x = 202.18

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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.