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Finding the Fourth Proportional to 360.16, 496.92 and 242.30

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Solution

The fourth proportional to 360.16, 496.92 and 242.30 is: 334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 496.92 = 242.30 : x
  2. Step 2: Convert to fraction form
    360.16/496.92 = 242.30/x
  3. Step 3: Cross multiply
    360.16x = 496.92 × 242.30
  4. Step 4: Simplify right side
    360.16x = 120,403.72
  5. Step 5: Solve for x
    x = 120,403.72/360.16
  6. Step 6: Final answer
    x = 334.31

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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.