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Finding the Fourth Proportional to 185.49, 278.32 and 88.06

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Solution

The fourth proportional to 185.49, 278.32 and 88.06 is: 132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 278.32 = 88.06 : x
  2. Step 2: Convert to fraction form
    185.49/278.32 = 88.06/x
  3. Step 3: Cross multiply
    185.49x = 278.32 × 88.06
  4. Step 4: Simplify right side
    185.49x = 24,509.32
  5. Step 5: Solve for x
    x = 24,509.32/185.49
  6. Step 6: Final answer
    x = 132.13

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Why These Related Problems?

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