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Finding the Fourth Proportional to 232.64, 349.07 and 122.93

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Solution

The fourth proportional to 232.64, 349.07 and 122.93 is: 184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.64 : 349.07 = 122.93 : x
  2. Step 2: Convert to fraction form
    232.64/349.07 = 122.93/x
  3. Step 3: Cross multiply
    232.64x = 349.07 × 122.93
  4. Step 4: Simplify right side
    232.64x = 42,911.18
  5. Step 5: Solve for x
    x = 42,911.18/232.64
  6. Step 6: Final answer
    x = 184.45

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