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Finding the Fourth Proportional to 286.86, 430.56 and 150.06

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Solution

The fourth proportional to 286.86, 430.56 and 150.06 is: 225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 430.56 = 150.06 : x
  2. Step 2: Convert to fraction form
    286.86/430.56 = 150.06/x
  3. Step 3: Cross multiply
    286.86x = 430.56 × 150.06
  4. Step 4: Simplify right side
    286.86x = 64,609.83
  5. Step 5: Solve for x
    x = 64,609.83/286.86
  6. Step 6: Final answer
    x = 225.23

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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.