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Finding the Fourth Proportional to 291.34, 437.11 and 242.36

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Solution

The fourth proportional to 291.34, 437.11 and 242.36 is: 363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.34 : 437.11 = 242.36 : x
  2. Step 2: Convert to fraction form
    291.34/437.11 = 242.36/x
  3. Step 3: Cross multiply
    291.34x = 437.11 × 242.36
  4. Step 4: Simplify right side
    291.34x = 105,937.98
  5. Step 5: Solve for x
    x = 105,937.98/291.34
  6. Step 6: Final answer
    x = 363.62

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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.