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Finding the Fourth Proportional to 253.28, 349.28 and 165.84

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Solution

The fourth proportional to 253.28, 349.28 and 165.84 is: 228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.28 : 349.28 = 165.84 : x
  2. Step 2: Convert to fraction form
    253.28/349.28 = 165.84/x
  3. Step 3: Cross multiply
    253.28x = 349.28 × 165.84
  4. Step 4: Simplify right side
    253.28x = 57,924.60
  5. Step 5: Solve for x
    x = 57,924.60/253.28
  6. Step 6: Final answer
    x = 228.70

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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.