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Finding the Fourth Proportional to 281.48, 388.60 and 193.08

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Solution

The fourth proportional to 281.48, 388.60 and 193.08 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 388.60 = 193.08 : x
  2. Step 2: Convert to fraction form
    281.48/388.60 = 193.08/x
  3. Step 3: Cross multiply
    281.48x = 388.60 × 193.08
  4. Step 4: Simplify right side
    281.48x = 75,031.86
  5. Step 5: Solve for x
    x = 75,031.86/281.48
  6. Step 6: Final answer
    x = 266.57

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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.