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Finding the Fourth Proportional to 232.04, 320.15 and 144.65

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Solution

The fourth proportional to 232.04, 320.15 and 144.65 is: 199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.04 : 320.15 = 144.65 : x
  2. Step 2: Convert to fraction form
    232.04/320.15 = 144.65/x
  3. Step 3: Cross multiply
    232.04x = 320.15 × 144.65
  4. Step 4: Simplify right side
    232.04x = 46,307.37
  5. Step 5: Solve for x
    x = 46,307.37/232.04
  6. Step 6: Final answer
    x = 199.57

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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.