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Finding the Fourth Proportional to 648.04, 971.86 and 185.69

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Solution

The fourth proportional to 648.04, 971.86 and 185.69 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.04 : 971.86 = 185.69 : x
  2. Step 2: Convert to fraction form
    648.04/971.86 = 185.69/x
  3. Step 3: Cross multiply
    648.04x = 971.86 × 185.69
  4. Step 4: Simplify right side
    648.04x = 180,468.57
  5. Step 5: Solve for x
    x = 180,468.57/648.04
  6. Step 6: Final answer
    x = 278.48

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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.