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Finding the Fourth Proportional to 648.68, 972.95 and 186.53

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Solution

The fourth proportional to 648.68, 972.95 and 186.53 is: 279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 972.95 = 186.53 : x
  2. Step 2: Convert to fraction form
    648.68/972.95 = 186.53/x
  3. Step 3: Cross multiply
    648.68x = 972.95 × 186.53
  4. Step 4: Simplify right side
    648.68x = 181,478.57
  5. Step 5: Solve for x
    x = 181,478.57/648.68
  6. Step 6: Final answer
    x = 279.77

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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.