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Finding the Fourth Proportional to 148.60, 221.50 and 142.66

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Solution

The fourth proportional to 148.60, 221.50 and 142.66 is: 212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.60 : 221.50 = 142.66 : x
  2. Step 2: Convert to fraction form
    148.60/221.50 = 142.66/x
  3. Step 3: Cross multiply
    148.60x = 221.50 × 142.66
  4. Step 4: Simplify right side
    148.60x = 31,599.19
  5. Step 5: Solve for x
    x = 31,599.19/148.60
  6. Step 6: Final answer
    x = 212.65

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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.