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Finding the Fourth Proportional to 184.59, 254.69 and 114.65

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Solution

The fourth proportional to 184.59, 254.69 and 114.65 is: 158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.59 : 254.69 = 114.65 : x
  2. Step 2: Convert to fraction form
    184.59/254.69 = 114.65/x
  3. Step 3: Cross multiply
    184.59x = 254.69 × 114.65
  4. Step 4: Simplify right side
    184.59x = 29,199.75
  5. Step 5: Solve for x
    x = 29,199.75/184.59
  6. Step 6: Final answer
    x = 158.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.