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Finding the Fourth Proportional to 279.97, 420.06 and 126.01

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Solution

The fourth proportional to 279.97, 420.06 and 126.01 is: 189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.97 : 420.06 = 126.01 : x
  2. Step 2: Convert to fraction form
    279.97/420.06 = 126.01/x
  3. Step 3: Cross multiply
    279.97x = 420.06 × 126.01
  4. Step 4: Simplify right side
    279.97x = 52,931.76
  5. Step 5: Solve for x
    x = 52,931.76/279.97
  6. Step 6: Final answer
    x = 189.06

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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.