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Finding the Fourth Proportional to 309.24, 464.02 and 135.86

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Solution

The fourth proportional to 309.24, 464.02 and 135.86 is: 203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.24 : 464.02 = 135.86 : x
  2. Step 2: Convert to fraction form
    309.24/464.02 = 135.86/x
  3. Step 3: Cross multiply
    309.24x = 464.02 × 135.86
  4. Step 4: Simplify right side
    309.24x = 63,041.76
  5. Step 5: Solve for x
    x = 63,041.76/309.24
  6. Step 6: Final answer
    x = 203.86

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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.