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Finding the Fourth Proportional to 373.40, 560.22 and 200.08

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Solution

The fourth proportional to 373.40, 560.22 and 200.08 is: 300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.40 : 560.22 = 200.08 : x
  2. Step 2: Convert to fraction form
    373.40/560.22 = 200.08/x
  3. Step 3: Cross multiply
    373.40x = 560.22 × 200.08
  4. Step 4: Simplify right side
    373.40x = 112,088.82
  5. Step 5: Solve for x
    x = 112,088.82/373.40
  6. Step 6: Final answer
    x = 300.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.