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Finding the Fourth Proportional to 207.96, 287.06 and 175.38

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Solution

The fourth proportional to 207.96, 287.06 and 175.38 is: 242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 287.06 = 175.38 : x
  2. Step 2: Convert to fraction form
    207.96/287.06 = 175.38/x
  3. Step 3: Cross multiply
    207.96x = 287.06 × 175.38
  4. Step 4: Simplify right side
    207.96x = 50,343.71
  5. Step 5: Solve for x
    x = 50,343.71/207.96
  6. Step 6: Final answer
    x = 242.08

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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.