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Finding the Fourth Proportional to 290.39, 400.64 and 172.31

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Solution

The fourth proportional to 290.39, 400.64 and 172.31 is: 237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.39 : 400.64 = 172.31 : x
  2. Step 2: Convert to fraction form
    290.39/400.64 = 172.31/x
  3. Step 3: Cross multiply
    290.39x = 400.64 × 172.31
  4. Step 4: Simplify right side
    290.39x = 69,031.41
  5. Step 5: Solve for x
    x = 69,031.41/290.39
  6. Step 6: Final answer
    x = 237.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.