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Finding the Fourth Proportional to 265.10, 396.68 and 188.14

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Solution

The fourth proportional to 265.10, 396.68 and 188.14 is: 281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.10 : 396.68 = 188.14 : x
  2. Step 2: Convert to fraction form
    265.10/396.68 = 188.14/x
  3. Step 3: Cross multiply
    265.10x = 396.68 × 188.14
  4. Step 4: Simplify right side
    265.10x = 74,631.38
  5. Step 5: Solve for x
    x = 74,631.38/265.10
  6. Step 6: Final answer
    x = 281.52

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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.