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Finding the Fourth Proportional to 245.23, 337.87 and 232.00

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Solution

The fourth proportional to 245.23, 337.87 and 232.00 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.23 : 337.87 = 232.00 : x
  2. Step 2: Convert to fraction form
    245.23/337.87 = 232.00/x
  3. Step 3: Cross multiply
    245.23x = 337.87 × 232.00
  4. Step 4: Simplify right side
    245.23x = 78,385.29
  5. Step 5: Solve for x
    x = 78,385.29/245.23
  6. Step 6: Final answer
    x = 319.64

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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.