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Finding the Fourth Proportional to 177.36, 265.99 and 67.65

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Solution

The fourth proportional to 177.36, 265.99 and 67.65 is: 101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.36 : 265.99 = 67.65 : x
  2. Step 2: Convert to fraction form
    177.36/265.99 = 67.65/x
  3. Step 3: Cross multiply
    177.36x = 265.99 × 67.65
  4. Step 4: Simplify right side
    177.36x = 17,992.89
  5. Step 5: Solve for x
    x = 17,992.89/177.36
  6. Step 6: Final answer
    x = 101.45

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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.