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Finding the Fourth Proportional to 224.02, 336.10 and 178.40

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Solution

The fourth proportional to 224.02, 336.10 and 178.40 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 336.10 = 178.40 : x
  2. Step 2: Convert to fraction form
    224.02/336.10 = 178.40/x
  3. Step 3: Cross multiply
    224.02x = 336.10 × 178.40
  4. Step 4: Simplify right side
    224.02x = 59,960.24
  5. Step 5: Solve for x
    x = 59,960.24/224.02
  6. Step 6: Final answer
    x = 267.66

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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.