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Finding the Fourth Proportional to 179.26, 267.40 and 175.16

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Solution

The fourth proportional to 179.26, 267.40 and 175.16 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.26 : 267.40 = 175.16 : x
  2. Step 2: Convert to fraction form
    179.26/267.40 = 175.16/x
  3. Step 3: Cross multiply
    179.26x = 267.40 × 175.16
  4. Step 4: Simplify right side
    179.26x = 46,838.67
  5. Step 5: Solve for x
    x = 46,838.67/179.26
  6. Step 6: Final answer
    x = 261.28

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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.