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Finding the Fourth Proportional to 286.86, 430.27 and 101.75

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Solution

The fourth proportional to 286.86, 430.27 and 101.75 is: 152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 430.27 = 101.75 : x
  2. Step 2: Convert to fraction form
    286.86/430.27 = 101.75/x
  3. Step 3: Cross multiply
    286.86x = 430.27 × 101.75
  4. Step 4: Simplify right side
    286.86x = 43,779.97
  5. Step 5: Solve for x
    x = 43,779.97/286.86
  6. Step 6: Final answer
    x = 152.62

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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.