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Finding the Fourth Proportional to 184.16, 275.76 and 129.48

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Solution

The fourth proportional to 184.16, 275.76 and 129.48 is: 193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.16 : 275.76 = 129.48 : x
  2. Step 2: Convert to fraction form
    184.16/275.76 = 129.48/x
  3. Step 3: Cross multiply
    184.16x = 275.76 × 129.48
  4. Step 4: Simplify right side
    184.16x = 35,705.40
  5. Step 5: Solve for x
    x = 35,705.40/184.16
  6. Step 6: Final answer
    x = 193.89

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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.