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Finding the Fourth Proportional to 648.41, 972.76 and 186.19

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Solution

The fourth proportional to 648.41, 972.76 and 186.19 is: 279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 972.76 = 186.19 : x
  2. Step 2: Convert to fraction form
    648.41/972.76 = 186.19/x
  3. Step 3: Cross multiply
    648.41x = 972.76 × 186.19
  4. Step 4: Simplify right side
    648.41x = 181,115.29
  5. Step 5: Solve for x
    x = 181,115.29/648.41
  6. Step 6: Final answer
    x = 279.32

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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.