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Finding the Fourth Proportional to 309.13, 464 and 146.93

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Solution

The fourth proportional to 309.13, 464 and 146.93 is: 220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.13 : 464 = 146.93 : x
  2. Step 2: Convert to fraction form
    309.13/464 = 146.93/x
  3. Step 3: Cross multiply
    309.13x = 464 × 146.93
  4. Step 4: Simplify right side
    309.13x = 68,175.52
  5. Step 5: Solve for x
    x = 68,175.52/309.13
  6. Step 6: Final answer
    x = 220.54

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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.