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Finding the Fourth Proportional to 281.50, 422.14 and 117.00

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Solution

The fourth proportional to 281.50, 422.14 and 117.00 is: 175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.50 : 422.14 = 117.00 : x
  2. Step 2: Convert to fraction form
    281.50/422.14 = 117.00/x
  3. Step 3: Cross multiply
    281.50x = 422.14 × 117.00
  4. Step 4: Simplify right side
    281.50x = 49,388.50
  5. Step 5: Solve for x
    x = 49,388.50/281.50
  6. Step 6: Final answer
    x = 175.45

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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.