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Finding the Fourth Proportional to 286.66, 430.28 and 178.72

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Solution

The fourth proportional to 286.66, 430.28 and 178.72 is: 268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.66 : 430.28 = 178.72 : x
  2. Step 2: Convert to fraction form
    286.66/430.28 = 178.72/x
  3. Step 3: Cross multiply
    286.66x = 430.28 × 178.72
  4. Step 4: Simplify right side
    286.66x = 76,899.64
  5. Step 5: Solve for x
    x = 76,899.64/286.66
  6. Step 6: Final answer
    x = 268.26

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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.