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Finding the Fourth Proportional to 373.65, 515.65 and 205.61

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Solution

The fourth proportional to 373.65, 515.65 and 205.61 is: 283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.65 : 515.65 = 205.61 : x
  2. Step 2: Convert to fraction form
    373.65/515.65 = 205.61/x
  3. Step 3: Cross multiply
    373.65x = 515.65 × 205.61
  4. Step 4: Simplify right side
    373.65x = 106,021.25
  5. Step 5: Solve for x
    x = 106,021.25/373.65
  6. Step 6: Final answer
    x = 283.74

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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.