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Finding the Fourth Proportional to 338.64, 508.02 and 165.28

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Solution

The fourth proportional to 338.64, 508.02 and 165.28 is: 247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 508.02 = 165.28 : x
  2. Step 2: Convert to fraction form
    338.64/508.02 = 165.28/x
  3. Step 3: Cross multiply
    338.64x = 508.02 × 165.28
  4. Step 4: Simplify right side
    338.64x = 83,964.82
  5. Step 5: Solve for x
    x = 83,964.82/338.64
  6. Step 6: Final answer
    x = 247.94

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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.