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Finding the Fourth Proportional to 187.02, 258.29 and 128.28

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Solution

The fourth proportional to 187.02, 258.29 and 128.28 is: 177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.02 : 258.29 = 128.28 : x
  2. Step 2: Convert to fraction form
    187.02/258.29 = 128.28/x
  3. Step 3: Cross multiply
    187.02x = 258.29 × 128.28
  4. Step 4: Simplify right side
    187.02x = 33,132.80
  5. Step 5: Solve for x
    x = 33,132.80/187.02
  6. Step 6: Final answer
    x = 177.16

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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.