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Finding the Fourth Proportional to 296.32, 409.01 and 172.01

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Solution

The fourth proportional to 296.32, 409.01 and 172.01 is: 237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.32 : 409.01 = 172.01 : x
  2. Step 2: Convert to fraction form
    296.32/409.01 = 172.01/x
  3. Step 3: Cross multiply
    296.32x = 409.01 × 172.01
  4. Step 4: Simplify right side
    296.32x = 70,353.81
  5. Step 5: Solve for x
    x = 70,353.81/296.32
  6. Step 6: Final answer
    x = 237.43

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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.