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Finding the Fourth Proportional to 185.67, 278.04 and 152.96

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Solution

The fourth proportional to 185.67, 278.04 and 152.96 is: 229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.67 : 278.04 = 152.96 : x
  2. Step 2: Convert to fraction form
    185.67/278.04 = 152.96/x
  3. Step 3: Cross multiply
    185.67x = 278.04 × 152.96
  4. Step 4: Simplify right side
    185.67x = 42,529.00
  5. Step 5: Solve for x
    x = 42,529.00/185.67
  6. Step 6: Final answer
    x = 229.06

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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.