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Finding the Fourth Proportional to 242.48, 366.44 and 242.48

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Solution

The fourth proportional to 242.48, 366.44 and 242.48 is: 366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.48 : 366.44 = 242.48 : x
  2. Step 2: Convert to fraction form
    242.48/366.44 = 242.48/x
  3. Step 3: Cross multiply
    242.48x = 366.44 × 242.48
  4. Step 4: Simplify right side
    242.48x = 88,854.37
  5. Step 5: Solve for x
    x = 88,854.37/242.48
  6. Step 6: Final answer
    x = 366.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.