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Finding the Fourth Proportional to 151.67, 208.80 and 128.24

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Solution

The fourth proportional to 151.67, 208.80 and 128.24 is: 176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.67 : 208.80 = 128.24 : x
  2. Step 2: Convert to fraction form
    151.67/208.80 = 128.24/x
  3. Step 3: Cross multiply
    151.67x = 208.80 × 128.24
  4. Step 4: Simplify right side
    151.67x = 26,776.51
  5. Step 5: Solve for x
    x = 26,776.51/151.67
  6. Step 6: Final answer
    x = 176.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.