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Finding the Fourth Proportional to 253.58, 349.95 and 165.08

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Solution

The fourth proportional to 253.58, 349.95 and 165.08 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.58 : 349.95 = 165.08 : x
  2. Step 2: Convert to fraction form
    253.58/349.95 = 165.08/x
  3. Step 3: Cross multiply
    253.58x = 349.95 × 165.08
  4. Step 4: Simplify right side
    253.58x = 57,769.75
  5. Step 5: Solve for x
    x = 57,769.75/253.58
  6. Step 6: Final answer
    x = 227.82

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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.