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Finding the Fourth Proportional to 310.04, 464.46 and 155.78

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Solution

The fourth proportional to 310.04, 464.46 and 155.78 is: 233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.04 : 464.46 = 155.78 : x
  2. Step 2: Convert to fraction form
    310.04/464.46 = 155.78/x
  3. Step 3: Cross multiply
    310.04x = 464.46 × 155.78
  4. Step 4: Simplify right side
    310.04x = 72,354.74
  5. Step 5: Solve for x
    x = 72,354.74/310.04
  6. Step 6: Final answer
    x = 233.37

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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.