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Finding the Fourth Proportional to 185.47, 277.74 and 98.88

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Solution

The fourth proportional to 185.47, 277.74 and 98.88 is: 148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.47 : 277.74 = 98.88 : x
  2. Step 2: Convert to fraction form
    185.47/277.74 = 98.88/x
  3. Step 3: Cross multiply
    185.47x = 277.74 × 98.88
  4. Step 4: Simplify right side
    185.47x = 27,462.93
  5. Step 5: Solve for x
    x = 27,462.93/185.47
  6. Step 6: Final answer
    x = 148.07

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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.