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Finding the Fourth Proportional to 296.12, 442.18 and 242.12

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Solution

The fourth proportional to 296.12, 442.18 and 242.12 is: 361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.12 : 442.18 = 242.12 : x
  2. Step 2: Convert to fraction form
    296.12/442.18 = 242.12/x
  3. Step 3: Cross multiply
    296.12x = 442.18 × 242.12
  4. Step 4: Simplify right side
    296.12x = 107,060.62
  5. Step 5: Solve for x
    x = 107,060.62/296.12
  6. Step 6: Final answer
    x = 361.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.