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Finding the Fourth Proportional to 176, 262.62 and 159.84

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Solution

The fourth proportional to 176, 262.62 and 159.84 is: 238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176 : 262.62 = 159.84 : x
  2. Step 2: Convert to fraction form
    176/262.62 = 159.84/x
  3. Step 3: Cross multiply
    176x = 262.62 × 159.84
  4. Step 4: Simplify right side
    176x = 41,977.18
  5. Step 5: Solve for x
    x = 41,977.18/176
  6. Step 6: Final answer
    x = 238.51

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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.