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Finding the Fourth Proportional to 648.61, 972.81 and 186.46

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Solution

The fourth proportional to 648.61, 972.81 and 186.46 is: 279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.61 : 972.81 = 186.46 : x
  2. Step 2: Convert to fraction form
    648.61/972.81 = 186.46/x
  3. Step 3: Cross multiply
    648.61x = 972.81 × 186.46
  4. Step 4: Simplify right side
    648.61x = 181,390.15
  5. Step 5: Solve for x
    x = 181,390.15/648.61
  6. Step 6: Final answer
    x = 279.66

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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.