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Finding the Fourth Proportional to 176.69, 265.01 and 73.94

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Solution

The fourth proportional to 176.69, 265.01 and 73.94 is: 110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.69 : 265.01 = 73.94 : x
  2. Step 2: Convert to fraction form
    176.69/265.01 = 73.94/x
  3. Step 3: Cross multiply
    176.69x = 265.01 × 73.94
  4. Step 4: Simplify right side
    176.69x = 19,593.14
  5. Step 5: Solve for x
    x = 19,593.14/176.69
  6. Step 6: Final answer
    x = 110.89

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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.