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Finding the Fourth Proportional to 310.18, 465.24 and 79.04

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Solution

The fourth proportional to 310.18, 465.24 and 79.04 is: 118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.18 : 465.24 = 79.04 : x
  2. Step 2: Convert to fraction form
    310.18/465.24 = 79.04/x
  3. Step 3: Cross multiply
    310.18x = 465.24 × 79.04
  4. Step 4: Simplify right side
    310.18x = 36,774.03
  5. Step 5: Solve for x
    x = 36,774.03/310.18
  6. Step 6: Final answer
    x = 118.56

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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.