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Finding the Fourth Proportional to 473.98, 710.80 and 165.74

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Solution

The fourth proportional to 473.98, 710.80 and 165.74 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.98 : 710.80 = 165.74 : x
  2. Step 2: Convert to fraction form
    473.98/710.80 = 165.74/x
  3. Step 3: Cross multiply
    473.98x = 710.80 × 165.74
  4. Step 4: Simplify right side
    473.98x = 117,807.99
  5. Step 5: Solve for x
    x = 117,807.99/473.98
  6. Step 6: Final answer
    x = 248.55

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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.