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Finding the Fourth Proportional to 144.83, 200 and 93.17

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Solution

The fourth proportional to 144.83, 200 and 93.17 is: 128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.83 : 200 = 93.17 : x
  2. Step 2: Convert to fraction form
    144.83/200 = 93.17/x
  3. Step 3: Cross multiply
    144.83x = 200 × 93.17
  4. Step 4: Simplify right side
    144.83x = 18,634
  5. Step 5: Solve for x
    x = 18,634/144.83
  6. Step 6: Final answer
    x = 128.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.