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Finding the Fourth Proportional to 287.42, 430.97 and 102.23

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Solution

The fourth proportional to 287.42, 430.97 and 102.23 is: 153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.42 : 430.97 = 102.23 : x
  2. Step 2: Convert to fraction form
    287.42/430.97 = 102.23/x
  3. Step 3: Cross multiply
    287.42x = 430.97 × 102.23
  4. Step 4: Simplify right side
    287.42x = 44,058.06
  5. Step 5: Solve for x
    x = 44,058.06/287.42
  6. Step 6: Final answer
    x = 153.29

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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.