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Finding the Fourth Proportional to 287.45, 430.98 and 102.23

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Solution

The fourth proportional to 287.45, 430.98 and 102.23 is: 153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.45 : 430.98 = 102.23 : x
  2. Step 2: Convert to fraction form
    287.45/430.98 = 102.23/x
  3. Step 3: Cross multiply
    287.45x = 430.98 × 102.23
  4. Step 4: Simplify right side
    287.45x = 44,059.09
  5. Step 5: Solve for x
    x = 44,059.09/287.45
  6. Step 6: Final answer
    x = 153.28

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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.