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Finding the Fourth Proportional to 224.80, 310 and 178.08

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Solution

The fourth proportional to 224.80, 310 and 178.08 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.80 : 310 = 178.08 : x
  2. Step 2: Convert to fraction form
    224.80/310 = 178.08/x
  3. Step 3: Cross multiply
    224.80x = 310 × 178.08
  4. Step 4: Simplify right side
    224.80x = 55,204.80
  5. Step 5: Solve for x
    x = 55,204.80/224.80
  6. Step 6: Final answer
    x = 245.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.