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Finding the Fourth Proportional to 286.74, 430.17 and 104.16

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Solution

The fourth proportional to 286.74, 430.17 and 104.16 is: 156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.74 : 430.17 = 104.16 : x
  2. Step 2: Convert to fraction form
    286.74/430.17 = 104.16/x
  3. Step 3: Cross multiply
    286.74x = 430.17 × 104.16
  4. Step 4: Simplify right side
    286.74x = 44,806.51
  5. Step 5: Solve for x
    x = 44,806.51/286.74
  6. Step 6: Final answer
    x = 156.26

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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.