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Finding the Fourth Proportional to 237.40, 327.59 and 150.06

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Solution

The fourth proportional to 237.40, 327.59 and 150.06 is: 207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.40 : 327.59 = 150.06 : x
  2. Step 2: Convert to fraction form
    237.40/327.59 = 150.06/x
  3. Step 3: Cross multiply
    237.40x = 327.59 × 150.06
  4. Step 4: Simplify right side
    237.40x = 49,158.16
  5. Step 5: Solve for x
    x = 49,158.16/237.40
  6. Step 6: Final answer
    x = 207.07

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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.