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Finding the Fourth Proportional to 265, 397.11 and 177.01

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Solution

The fourth proportional to 265, 397.11 and 177.01 is: 265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265 : 397.11 = 177.01 : x
  2. Step 2: Convert to fraction form
    265/397.11 = 177.01/x
  3. Step 3: Cross multiply
    265x = 397.11 × 177.01
  4. Step 4: Simplify right side
    265x = 70,292.44
  5. Step 5: Solve for x
    x = 70,292.44/265
  6. Step 6: Final answer
    x = 265.25

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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.