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Finding the Fourth Proportional to 263.10, 393.68 and 186.14

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Solution

The fourth proportional to 263.10, 393.68 and 186.14 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.10 : 393.68 = 186.14 : x
  2. Step 2: Convert to fraction form
    263.10/393.68 = 186.14/x
  3. Step 3: Cross multiply
    263.10x = 393.68 × 186.14
  4. Step 4: Simplify right side
    263.10x = 73,279.60
  5. Step 5: Solve for x
    x = 73,279.60/263.10
  6. Step 6: Final answer
    x = 278.52

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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.