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Finding the Fourth Proportional to 184.59, 277.05 and 87.21

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Solution

The fourth proportional to 184.59, 277.05 and 87.21 is: 130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.59 : 277.05 = 87.21 : x
  2. Step 2: Convert to fraction form
    184.59/277.05 = 87.21/x
  3. Step 3: Cross multiply
    184.59x = 277.05 × 87.21
  4. Step 4: Simplify right side
    184.59x = 24,161.53
  5. Step 5: Solve for x
    x = 24,161.53/184.59
  6. Step 6: Final answer
    x = 130.89

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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.