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Finding the Fourth Proportional to 242.40, 362.99 and 191.32

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Solution

The fourth proportional to 242.40, 362.99 and 191.32 is: 286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.40 : 362.99 = 191.32 : x
  2. Step 2: Convert to fraction form
    242.40/362.99 = 191.32/x
  3. Step 3: Cross multiply
    242.40x = 362.99 × 191.32
  4. Step 4: Simplify right side
    242.40x = 69,446.28
  5. Step 5: Solve for x
    x = 69,446.28/242.40
  6. Step 6: Final answer
    x = 286.50

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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.