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Finding the Fourth Proportional to 176.03, 262.81 and 158.75

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Solution

The fourth proportional to 176.03, 262.81 and 158.75 is: 237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.03 : 262.81 = 158.75 : x
  2. Step 2: Convert to fraction form
    176.03/262.81 = 158.75/x
  3. Step 3: Cross multiply
    176.03x = 262.81 × 158.75
  4. Step 4: Simplify right side
    176.03x = 41,721.09
  5. Step 5: Solve for x
    x = 41,721.09/176.03
  6. Step 6: Final answer
    x = 237.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.