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Finding the Fourth Proportional to 305.13, 456.75 and 232.50

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Solution

The fourth proportional to 305.13, 456.75 and 232.50 is: 348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.13 : 456.75 = 232.50 : x
  2. Step 2: Convert to fraction form
    305.13/456.75 = 232.50/x
  3. Step 3: Cross multiply
    305.13x = 456.75 × 232.50
  4. Step 4: Simplify right side
    305.13x = 106,194.38
  5. Step 5: Solve for x
    x = 106,194.38/305.13
  6. Step 6: Final answer
    x = 348.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.