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Finding the Fourth Proportional to 231.60, 319.46 and 152.84

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Solution

The fourth proportional to 231.60, 319.46 and 152.84 is: 210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.60 : 319.46 = 152.84 : x
  2. Step 2: Convert to fraction form
    231.60/319.46 = 152.84/x
  3. Step 3: Cross multiply
    231.60x = 319.46 × 152.84
  4. Step 4: Simplify right side
    231.60x = 48,826.27
  5. Step 5: Solve for x
    x = 48,826.27/231.60
  6. Step 6: Final answer
    x = 210.82

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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.