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Finding the Fourth Proportional to 473.99, 711.06 and 166.02

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Solution

The fourth proportional to 473.99, 711.06 and 166.02 is: 249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.99 : 711.06 = 166.02 : x
  2. Step 2: Convert to fraction form
    473.99/711.06 = 166.02/x
  3. Step 3: Cross multiply
    473.99x = 711.06 × 166.02
  4. Step 4: Simplify right side
    473.99x = 118,049.35
  5. Step 5: Solve for x
    x = 118,049.35/473.99
  6. Step 6: Final answer
    x = 249.05

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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.