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Finding the Fourth Proportional to 184.92, 278.72 and 175.02

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Solution

The fourth proportional to 184.92, 278.72 and 175.02 is: 263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 278.72 = 175.02 : x
  2. Step 2: Convert to fraction form
    184.92/278.72 = 175.02/x
  3. Step 3: Cross multiply
    184.92x = 278.72 × 175.02
  4. Step 4: Simplify right side
    184.92x = 48,781.57
  5. Step 5: Solve for x
    x = 48,781.57/184.92
  6. Step 6: Final answer
    x = 263.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.