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Finding the Fourth Proportional to 231.63, 319.19 and 152.85

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Solution

The fourth proportional to 231.63, 319.19 and 152.85 is: 210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.63 : 319.19 = 152.85 : x
  2. Step 2: Convert to fraction form
    231.63/319.19 = 152.85/x
  3. Step 3: Cross multiply
    231.63x = 319.19 × 152.85
  4. Step 4: Simplify right side
    231.63x = 48,789.48
  5. Step 5: Solve for x
    x = 48,789.48/231.63
  6. Step 6: Final answer
    x = 210.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.