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Finding the Fourth Proportional to 185.01, 277.53 and 98.29

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Solution

The fourth proportional to 185.01, 277.53 and 98.29 is: 147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.01 : 277.53 = 98.29 : x
  2. Step 2: Convert to fraction form
    185.01/277.53 = 98.29/x
  3. Step 3: Cross multiply
    185.01x = 277.53 × 98.29
  4. Step 4: Simplify right side
    185.01x = 27,278.40
  5. Step 5: Solve for x
    x = 27,278.40/185.01
  6. Step 6: Final answer
    x = 147.45

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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.