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Finding the Fourth Proportional to 148.61, 221.84 and 137.93

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Solution

The fourth proportional to 148.61, 221.84 and 137.93 is: 205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.61 : 221.84 = 137.93 : x
  2. Step 2: Convert to fraction form
    148.61/221.84 = 137.93/x
  3. Step 3: Cross multiply
    148.61x = 221.84 × 137.93
  4. Step 4: Simplify right side
    148.61x = 30,596.59
  5. Step 5: Solve for x
    x = 30,596.59/148.61
  6. Step 6: Final answer
    x = 205.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.