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Finding the Fourth Proportional to 631.51, 947.30 and 169.30

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Solution

The fourth proportional to 631.51, 947.30 and 169.30 is: 253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.51 : 947.30 = 169.30 : x
  2. Step 2: Convert to fraction form
    631.51/947.30 = 169.30/x
  3. Step 3: Cross multiply
    631.51x = 947.30 × 169.30
  4. Step 4: Simplify right side
    631.51x = 160,377.89
  5. Step 5: Solve for x
    x = 160,377.89/631.51
  6. Step 6: Final answer
    x = 253.96

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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.