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Finding the Fourth Proportional to 176.77, 265.32 and 125.27

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Solution

The fourth proportional to 176.77, 265.32 and 125.27 is: 188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 265.32 = 125.27 : x
  2. Step 2: Convert to fraction form
    176.77/265.32 = 125.27/x
  3. Step 3: Cross multiply
    176.77x = 265.32 × 125.27
  4. Step 4: Simplify right side
    176.77x = 33,235.31
  5. Step 5: Solve for x
    x = 33,235.31/176.77
  6. Step 6: Final answer
    x = 188.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.