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Finding the Fourth Proportional to 245.84, 370.31 and 232.20

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Solution

The fourth proportional to 245.84, 370.31 and 232.20 is: 349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.84 : 370.31 = 232.20 : x
  2. Step 2: Convert to fraction form
    245.84/370.31 = 232.20/x
  3. Step 3: Cross multiply
    245.84x = 370.31 × 232.20
  4. Step 4: Simplify right side
    245.84x = 85,984.82
  5. Step 5: Solve for x
    x = 85,984.82/245.84
  6. Step 6: Final answer
    x = 349.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.