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Finding the Fourth Proportional to 176.68, 263.60 and 157.19

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Solution

The fourth proportional to 176.68, 263.60 and 157.19 is: 234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.68 : 263.60 = 157.19 : x
  2. Step 2: Convert to fraction form
    176.68/263.60 = 157.19/x
  3. Step 3: Cross multiply
    176.68x = 263.60 × 157.19
  4. Step 4: Simplify right side
    176.68x = 41,436.14
  5. Step 5: Solve for x
    x = 41,436.14/176.68
  6. Step 6: Final answer
    x = 234.52

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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.