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Finding the Fourth Proportional to 648.18, 972.42 and 185.94

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Solution

The fourth proportional to 648.18, 972.42 and 185.94 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 972.42 = 185.94 : x
  2. Step 2: Convert to fraction form
    648.18/972.42 = 185.94/x
  3. Step 3: Cross multiply
    648.18x = 972.42 × 185.94
  4. Step 4: Simplify right side
    648.18x = 180,811.77
  5. Step 5: Solve for x
    x = 180,811.77/648.18
  6. Step 6: Final answer
    x = 278.95

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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.