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Finding the Fourth Proportional to 244.64, 337.64 and 146.44

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Solution

The fourth proportional to 244.64, 337.64 and 146.44 is: 202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.64 : 337.64 = 146.44 : x
  2. Step 2: Convert to fraction form
    244.64/337.64 = 146.44/x
  3. Step 3: Cross multiply
    244.64x = 337.64 × 146.44
  4. Step 4: Simplify right side
    244.64x = 49,444.00
  5. Step 5: Solve for x
    x = 49,444.00/244.64
  6. Step 6: Final answer
    x = 202.11

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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.