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Finding the Fourth Proportional to 265.74, 399.01 and 170.16

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Solution

The fourth proportional to 265.74, 399.01 and 170.16 is: 255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 399.01 = 170.16 : x
  2. Step 2: Convert to fraction form
    265.74/399.01 = 170.16/x
  3. Step 3: Cross multiply
    265.74x = 399.01 × 170.16
  4. Step 4: Simplify right side
    265.74x = 67,895.54
  5. Step 5: Solve for x
    x = 67,895.54/265.74
  6. Step 6: Final answer
    x = 255.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.