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Finding the Fourth Proportional to 281.02, 421.56 and 116.50

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Solution

The fourth proportional to 281.02, 421.56 and 116.50 is: 174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.02 : 421.56 = 116.50 : x
  2. Step 2: Convert to fraction form
    281.02/421.56 = 116.50/x
  3. Step 3: Cross multiply
    281.02x = 421.56 × 116.50
  4. Step 4: Simplify right side
    281.02x = 49,111.74
  5. Step 5: Solve for x
    x = 49,111.74/281.02
  6. Step 6: Final answer
    x = 174.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.