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Finding the Fourth Proportional to 200.95, 278.04 and 175.14

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Solution

The fourth proportional to 200.95, 278.04 and 175.14 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.95 : 278.04 = 175.14 : x
  2. Step 2: Convert to fraction form
    200.95/278.04 = 175.14/x
  3. Step 3: Cross multiply
    200.95x = 278.04 × 175.14
  4. Step 4: Simplify right side
    200.95x = 48,695.93
  5. Step 5: Solve for x
    x = 48,695.93/200.95
  6. Step 6: Final answer
    x = 242.33

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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.