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Finding the Fourth Proportional to 265.07, 397.82 and 188.11

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Solution

The fourth proportional to 265.07, 397.82 and 188.11 is: 282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.07 : 397.82 = 188.11 : x
  2. Step 2: Convert to fraction form
    265.07/397.82 = 188.11/x
  3. Step 3: Cross multiply
    265.07x = 397.82 × 188.11
  4. Step 4: Simplify right side
    265.07x = 74,833.92
  5. Step 5: Solve for x
    x = 74,833.92/265.07
  6. Step 6: Final answer
    x = 282.32

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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.