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Finding the Fourth Proportional to 309.66, 464.54 and 145.10

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Solution

The fourth proportional to 309.66, 464.54 and 145.10 is: 217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.66 : 464.54 = 145.10 : x
  2. Step 2: Convert to fraction form
    309.66/464.54 = 145.10/x
  3. Step 3: Cross multiply
    309.66x = 464.54 × 145.10
  4. Step 4: Simplify right side
    309.66x = 67,401.71
  5. Step 5: Solve for x
    x = 67,401.71/309.66
  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.