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Finding the Fourth Proportional to 310.04, 464.13 and 187.93

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Solution

The fourth proportional to 310.04, 464.13 and 187.93 is: 281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.04 : 464.13 = 187.93 : x
  2. Step 2: Convert to fraction form
    310.04/464.13 = 187.93/x
  3. Step 3: Cross multiply
    310.04x = 464.13 × 187.93
  4. Step 4: Simplify right side
    310.04x = 87,224.53
  5. Step 5: Solve for x
    x = 87,224.53/310.04
  6. Step 6: Final answer
    x = 281.33

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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.