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Finding the Fourth Proportional to 309.23, 463.85 and 101.04

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Solution

The fourth proportional to 309.23, 463.85 and 101.04 is: 151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.23 : 463.85 = 101.04 : x
  2. Step 2: Convert to fraction form
    309.23/463.85 = 101.04/x
  3. Step 3: Cross multiply
    309.23x = 463.85 × 101.04
  4. Step 4: Simplify right side
    309.23x = 46,867.66
  5. Step 5: Solve for x
    x = 46,867.66/309.23
  6. Step 6: Final answer
    x = 151.56

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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.