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Finding the Fourth Proportional to 309.76, 464.57 and 145.13

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Solution

The fourth proportional to 309.76, 464.57 and 145.13 is: 217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 464.57 = 145.13 : x
  2. Step 2: Convert to fraction form
    309.76/464.57 = 145.13/x
  3. Step 3: Cross multiply
    309.76x = 464.57 × 145.13
  4. Step 4: Simplify right side
    309.76x = 67,420.54
  5. Step 5: Solve for x
    x = 67,420.54/309.76
  6. Step 6: Final answer
    x = 217.66

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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.