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Finding the Fourth Proportional to 244.88, 338 and 146.64

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Solution

The fourth proportional to 244.88, 338 and 146.64 is: 202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.88 : 338 = 146.64 : x
  2. Step 2: Convert to fraction form
    244.88/338 = 146.64/x
  3. Step 3: Cross multiply
    244.88x = 338 × 146.64
  4. Step 4: Simplify right side
    244.88x = 49,564.32
  5. Step 5: Solve for x
    x = 49,564.32/244.88
  6. Step 6: Final answer
    x = 202.40

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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.