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Finding the Fourth Proportional to 648.18, 972.14 and 185.96

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Solution

The fourth proportional to 648.18, 972.14 and 185.96 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 972.14 = 185.96 : x
  2. Step 2: Convert to fraction form
    648.18/972.14 = 185.96/x
  3. Step 3: Cross multiply
    648.18x = 972.14 × 185.96
  4. Step 4: Simplify right side
    648.18x = 180,779.15
  5. Step 5: Solve for x
    x = 180,779.15/648.18
  6. Step 6: Final answer
    x = 278.90

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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.