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Finding the Fourth Proportional to 231.55, 319.47 and 156.90

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Solution

The fourth proportional to 231.55, 319.47 and 156.90 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.55 : 319.47 = 156.90 : x
  2. Step 2: Convert to fraction form
    231.55/319.47 = 156.90/x
  3. Step 3: Cross multiply
    231.55x = 319.47 × 156.90
  4. Step 4: Simplify right side
    231.55x = 50,124.23
  5. Step 5: Solve for x
    x = 50,124.23/231.55
  6. Step 6: Final answer
    x = 216.47

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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.