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Finding the Fourth Proportional to 319.20, 477.32 and 242.18

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Solution

The fourth proportional to 319.20, 477.32 and 242.18 is: 362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.20 : 477.32 = 242.18 : x
  2. Step 2: Convert to fraction form
    319.20/477.32 = 242.18/x
  3. Step 3: Cross multiply
    319.20x = 477.32 × 242.18
  4. Step 4: Simplify right side
    319.20x = 115,597.36
  5. Step 5: Solve for x
    x = 115,597.36/319.20
  6. Step 6: Final answer
    x = 362.15

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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.