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Finding the Fourth Proportional to 224.92, 310.54 and 146.34

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Solution

The fourth proportional to 224.92, 310.54 and 146.34 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.92 : 310.54 = 146.34 : x
  2. Step 2: Convert to fraction form
    224.92/310.54 = 146.34/x
  3. Step 3: Cross multiply
    224.92x = 310.54 × 146.34
  4. Step 4: Simplify right side
    224.92x = 45,444.42
  5. Step 5: Solve for x
    x = 45,444.42/224.92
  6. Step 6: Final answer
    x = 202.05

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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.