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Finding the Fourth Proportional to 180.24, 268.75 and 177

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Solution

The fourth proportional to 180.24, 268.75 and 177 is: 263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 268.75 = 177 : x
  2. Step 2: Convert to fraction form
    180.24/268.75 = 177/x
  3. Step 3: Cross multiply
    180.24x = 268.75 × 177
  4. Step 4: Simplify right side
    180.24x = 47,568.75
  5. Step 5: Solve for x
    x = 47,568.75/180.24
  6. Step 6: Final answer
    x = 263.92

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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.