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Finding the Fourth Proportional to 176, 262.76 and 157.76

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Solution

The fourth proportional to 176, 262.76 and 157.76 is: 235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176 : 262.76 = 157.76 : x
  2. Step 2: Convert to fraction form
    176/262.76 = 157.76/x
  3. Step 3: Cross multiply
    176x = 262.76 × 157.76
  4. Step 4: Simplify right side
    176x = 41,453.02
  5. Step 5: Solve for x
    x = 41,453.02/176
  6. Step 6: Final answer
    x = 235.53

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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.