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Finding the Fourth Proportional to 179.71, 268.01 and 175.57

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Solution

The fourth proportional to 179.71, 268.01 and 175.57 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.71 : 268.01 = 175.57 : x
  2. Step 2: Convert to fraction form
    179.71/268.01 = 175.57/x
  3. Step 3: Cross multiply
    179.71x = 268.01 × 175.57
  4. Step 4: Simplify right side
    179.71x = 47,054.52
  5. Step 5: Solve for x
    x = 47,054.52/179.71
  6. Step 6: Final answer
    x = 261.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.