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Finding the Fourth Proportional to 242.10, 362.99 and 105.14

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Solution

The fourth proportional to 242.10, 362.99 and 105.14 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.10 : 362.99 = 105.14 : x
  2. Step 2: Convert to fraction form
    242.10/362.99 = 105.14/x
  3. Step 3: Cross multiply
    242.10x = 362.99 × 105.14
  4. Step 4: Simplify right side
    242.10x = 38,164.77
  5. Step 5: Solve for x
    x = 38,164.77/242.10
  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.