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Finding the Fourth Proportional to 230.97, 346.47 and 128.10

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Solution

The fourth proportional to 230.97, 346.47 and 128.10 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.97 : 346.47 = 128.10 : x
  2. Step 2: Convert to fraction form
    230.97/346.47 = 128.10/x
  3. Step 3: Cross multiply
    230.97x = 346.47 × 128.10
  4. Step 4: Simplify right side
    230.97x = 44,382.81
  5. Step 5: Solve for x
    x = 44,382.81/230.97
  6. Step 6: Final answer
    x = 192.16

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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.