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Finding the Fourth Proportional to 204.48, 280.53 and 188.10

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Solution

The fourth proportional to 204.48, 280.53 and 188.10 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.48 : 280.53 = 188.10 : x
  2. Step 2: Convert to fraction form
    204.48/280.53 = 188.10/x
  3. Step 3: Cross multiply
    204.48x = 280.53 × 188.10
  4. Step 4: Simplify right side
    204.48x = 52,767.69
  5. Step 5: Solve for x
    x = 52,767.69/204.48
  6. Step 6: Final answer
    x = 258.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.