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Finding the Fourth Proportional to 242.16, 362.84 and 126.32

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Solution

The fourth proportional to 242.16, 362.84 and 126.32 is: 189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 362.84 = 126.32 : x
  2. Step 2: Convert to fraction form
    242.16/362.84 = 126.32/x
  3. Step 3: Cross multiply
    242.16x = 362.84 × 126.32
  4. Step 4: Simplify right side
    242.16x = 45,833.95
  5. Step 5: Solve for x
    x = 45,833.95/242.16
  6. Step 6: Final answer
    x = 189.27

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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.