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Finding the Fourth Proportional to 242.16, 363.14 and 105.12

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Solution

The fourth proportional to 242.16, 363.14 and 105.12 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 363.14 = 105.12 : x
  2. Step 2: Convert to fraction form
    242.16/363.14 = 105.12/x
  3. Step 3: Cross multiply
    242.16x = 363.14 × 105.12
  4. Step 4: Simplify right side
    242.16x = 38,173.28
  5. Step 5: Solve for x
    x = 38,173.28/242.16
  6. Step 6: Final answer
    x = 157.64

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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.