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Finding the Fourth Proportional to 224.48, 310.04 and 178.00

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Solution

The fourth proportional to 224.48, 310.04 and 178.00 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.48 : 310.04 = 178.00 : x
  2. Step 2: Convert to fraction form
    224.48/310.04 = 178.00/x
  3. Step 3: Cross multiply
    224.48x = 310.04 × 178.00
  4. Step 4: Simplify right side
    224.48x = 55,187.29
  5. Step 5: Solve for x
    x = 55,187.29/224.48
  6. Step 6: Final answer
    x = 245.85

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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.