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Finding the Fourth Proportional to 373.64, 515.59 and 207.84

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Solution

The fourth proportional to 373.64, 515.59 and 207.84 is: 286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.64 : 515.59 = 207.84 : x
  2. Step 2: Convert to fraction form
    373.64/515.59 = 207.84/x
  3. Step 3: Cross multiply
    373.64x = 515.59 × 207.84
  4. Step 4: Simplify right side
    373.64x = 107,160.23
  5. Step 5: Solve for x
    x = 107,160.23/373.64
  6. Step 6: Final answer
    x = 286.80

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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.