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Finding the Fourth Proportional to 373.83, 515.92 and 208.08

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Solution

The fourth proportional to 373.83, 515.92 and 208.08 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.83 : 515.92 = 208.08 : x
  2. Step 2: Convert to fraction form
    373.83/515.92 = 208.08/x
  3. Step 3: Cross multiply
    373.83x = 515.92 × 208.08
  4. Step 4: Simplify right side
    373.83x = 107,352.11
  5. Step 5: Solve for x
    x = 107,352.11/373.83
  6. Step 6: Final answer
    x = 287.17

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Why These Related Problems?

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