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Finding the Fourth Proportional to 231.86, 345.44 and 229.58

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Solution

The fourth proportional to 231.86, 345.44 and 229.58 is: 342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 345.44 = 229.58 : x
  2. Step 2: Convert to fraction form
    231.86/345.44 = 229.58/x
  3. Step 3: Cross multiply
    231.86x = 345.44 × 229.58
  4. Step 4: Simplify right side
    231.86x = 79,303.24
  5. Step 5: Solve for x
    x = 79,303.24/231.86
  6. Step 6: Final answer
    x = 342.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.