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Finding the Fourth Proportional to 382.08, 527.14 and 242.16

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Solution

The fourth proportional to 382.08, 527.14 and 242.16 is: 334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.08 : 527.14 = 242.16 : x
  2. Step 2: Convert to fraction form
    382.08/527.14 = 242.16/x
  3. Step 3: Cross multiply
    382.08x = 527.14 × 242.16
  4. Step 4: Simplify right side
    382.08x = 127,652.22
  5. Step 5: Solve for x
    x = 127,652.22/382.08
  6. Step 6: Final answer
    x = 334.10

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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.