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Finding the Fourth Proportional to 179.34, 267.07 and 174.75

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Solution

The fourth proportional to 179.34, 267.07 and 174.75 is: 260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.34 : 267.07 = 174.75 : x
  2. Step 2: Convert to fraction form
    179.34/267.07 = 174.75/x
  3. Step 3: Cross multiply
    179.34x = 267.07 × 174.75
  4. Step 4: Simplify right side
    179.34x = 46,670.48
  5. Step 5: Solve for x
    x = 46,670.48/179.34
  6. Step 6: Final answer
    x = 260.23

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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.