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Finding the Fourth Proportional to 242.18, 334.28 and 158.16

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Solution

The fourth proportional to 242.18, 334.28 and 158.16 is: 218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.18 : 334.28 = 158.16 : x
  2. Step 2: Convert to fraction form
    242.18/334.28 = 158.16/x
  3. Step 3: Cross multiply
    242.18x = 334.28 × 158.16
  4. Step 4: Simplify right side
    242.18x = 52,870.12
  5. Step 5: Solve for x
    x = 52,870.12/242.18
  6. Step 6: Final answer
    x = 218.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.