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Finding the Fourth Proportional to 185.83, 278.66 and 62.39

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Solution

The fourth proportional to 185.83, 278.66 and 62.39 is: 93.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.83 : 278.66 = 62.39 : x
  2. Step 2: Convert to fraction form
    185.83/278.66 = 62.39/x
  3. Step 3: Cross multiply
    185.83x = 278.66 × 62.39
  4. Step 4: Simplify right side
    185.83x = 17,386.45
  5. Step 5: Solve for x
    x = 17,386.45/185.83
  6. Step 6: Final answer
    x = 93.56

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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.