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Finding the Fourth Proportional to 287.16, 430.78 and 104.64

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Solution

The fourth proportional to 287.16, 430.78 and 104.64 is: 156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.16 : 430.78 = 104.64 : x
  2. Step 2: Convert to fraction form
    287.16/430.78 = 104.64/x
  3. Step 3: Cross multiply
    287.16x = 430.78 × 104.64
  4. Step 4: Simplify right side
    287.16x = 45,076.82
  5. Step 5: Solve for x
    x = 45,076.82/287.16
  6. Step 6: Final answer
    x = 156.97

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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.