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Finding the Fourth Proportional to 242.10, 363.14 and 97.79

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Solution

The fourth proportional to 242.10, 363.14 and 97.79 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.10 : 363.14 = 97.79 : x
  2. Step 2: Convert to fraction form
    242.10/363.14 = 97.79/x
  3. Step 3: Cross multiply
    242.10x = 363.14 × 97.79
  4. Step 4: Simplify right side
    242.10x = 35,509.89
  5. Step 5: Solve for x
    x = 35,509.89/242.10
  6. Step 6: Final answer
    x = 146.67

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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.