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Finding the Fourth Proportional to 648.38, 972.59 and 186.22

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Solution

The fourth proportional to 648.38, 972.59 and 186.22 is: 279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.38 : 972.59 = 186.22 : x
  2. Step 2: Convert to fraction form
    648.38/972.59 = 186.22/x
  3. Step 3: Cross multiply
    648.38x = 972.59 × 186.22
  4. Step 4: Simplify right side
    648.38x = 181,113.74
  5. Step 5: Solve for x
    x = 181,113.74/648.38
  6. Step 6: Final answer
    x = 279.33

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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.