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Finding the Fourth Proportional to 281.50, 388.53 and 178.06

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Solution

The fourth proportional to 281.50, 388.53 and 178.06 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.50 : 388.53 = 178.06 : x
  2. Step 2: Convert to fraction form
    281.50/388.53 = 178.06/x
  3. Step 3: Cross multiply
    281.50x = 388.53 × 178.06
  4. Step 4: Simplify right side
    281.50x = 69,181.65
  5. Step 5: Solve for x
    x = 69,181.65/281.50
  6. Step 6: Final answer
    x = 245.76

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Why These Related Problems?

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