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Finding the Fourth Proportional to 296.61, 409.30 and 172.23

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Solution

The fourth proportional to 296.61, 409.30 and 172.23 is: 237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.61 : 409.30 = 172.23 : x
  2. Step 2: Convert to fraction form
    296.61/409.30 = 172.23/x
  3. Step 3: Cross multiply
    296.61x = 409.30 × 172.23
  4. Step 4: Simplify right side
    296.61x = 70,493.74
  5. Step 5: Solve for x
    x = 70,493.74/296.61
  6. Step 6: Final answer
    x = 237.66

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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.