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Finding the Fourth Proportional to 330.62, 456.34 and 242.14

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Solution

The fourth proportional to 330.62, 456.34 and 242.14 is: 334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.62 : 456.34 = 242.14 : x
  2. Step 2: Convert to fraction form
    330.62/456.34 = 242.14/x
  3. Step 3: Cross multiply
    330.62x = 456.34 × 242.14
  4. Step 4: Simplify right side
    330.62x = 110,498.17
  5. Step 5: Solve for x
    x = 110,498.17/330.62
  6. Step 6: Final answer
    x = 334.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.