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Finding the Fourth Proportional to 296.34, 409.00 and 172.08

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Solution

The fourth proportional to 296.34, 409.00 and 172.08 is: 237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 409.00 = 172.08 : x
  2. Step 2: Convert to fraction form
    296.34/409.00 = 172.08/x
  3. Step 3: Cross multiply
    296.34x = 409.00 × 172.08
  4. Step 4: Simplify right side
    296.34x = 70,380.29
  5. Step 5: Solve for x
    x = 70,380.29/296.34
  6. Step 6: Final answer
    x = 237.50

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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.