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Finding the Fourth Proportional to 286.67, 395.19 and 176.08

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Solution

The fourth proportional to 286.67, 395.19 and 176.08 is: 242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.67 : 395.19 = 176.08 : x
  2. Step 2: Convert to fraction form
    286.67/395.19 = 176.08/x
  3. Step 3: Cross multiply
    286.67x = 395.19 × 176.08
  4. Step 4: Simplify right side
    286.67x = 69,585.06
  5. Step 5: Solve for x
    x = 69,585.06/286.67
  6. Step 6: Final answer
    x = 242.74

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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.