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Finding the Fourth Proportional to 242.30, 363.86 and 205.86

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Solution

The fourth proportional to 242.30, 363.86 and 205.86 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.30 : 363.86 = 205.86 : x
  2. Step 2: Convert to fraction form
    242.30/363.86 = 205.86/x
  3. Step 3: Cross multiply
    242.30x = 363.86 × 205.86
  4. Step 4: Simplify right side
    242.30x = 74,904.22
  5. Step 5: Solve for x
    x = 74,904.22/242.30
  6. Step 6: Final answer
    x = 309.14

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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.