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Finding the Fourth Proportional to 286.90, 430.44 and 104.32

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Solution

The fourth proportional to 286.90, 430.44 and 104.32 is: 156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.90 : 430.44 = 104.32 : x
  2. Step 2: Convert to fraction form
    286.90/430.44 = 104.32/x
  3. Step 3: Cross multiply
    286.90x = 430.44 × 104.32
  4. Step 4: Simplify right side
    286.90x = 44,903.50
  5. Step 5: Solve for x
    x = 44,903.50/286.90
  6. Step 6: Final answer
    x = 156.51

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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.