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Finding the Fourth Proportional to 186.10, 278.82 and 175.12

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Solution

The fourth proportional to 186.10, 278.82 and 175.12 is: 262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.10 : 278.82 = 175.12 : x
  2. Step 2: Convert to fraction form
    186.10/278.82 = 175.12/x
  3. Step 3: Cross multiply
    186.10x = 278.82 × 175.12
  4. Step 4: Simplify right side
    186.10x = 48,827.83
  5. Step 5: Solve for x
    x = 48,827.83/186.10
  6. Step 6: Final answer
    x = 262.37

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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.