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Finding the Fourth Proportional to 185.77, 278.10 and 98.90

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Solution

The fourth proportional to 185.77, 278.10 and 98.90 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.77 : 278.10 = 98.90 : x
  2. Step 2: Convert to fraction form
    185.77/278.10 = 98.90/x
  3. Step 3: Cross multiply
    185.77x = 278.10 × 98.90
  4. Step 4: Simplify right side
    185.77x = 27,503.74
  5. Step 5: Solve for x
    x = 27,503.74/185.77
  6. Step 6: Final answer
    x = 148.05

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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.