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Finding the Fourth Proportional to 185.69, 278.62 and 99.02

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Solution

The fourth proportional to 185.69, 278.62 and 99.02 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.69 : 278.62 = 99.02 : x
  2. Step 2: Convert to fraction form
    185.69/278.62 = 99.02/x
  3. Step 3: Cross multiply
    185.69x = 278.62 × 99.02
  4. Step 4: Simplify right side
    185.69x = 27,589.40
  5. Step 5: Solve for x
    x = 27,589.40/185.69
  6. Step 6: Final answer
    x = 148.58

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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.