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Finding the Fourth Proportional to 286.40, 429.84 and 164.74

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Solution

The fourth proportional to 286.40, 429.84 and 164.74 is: 247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 429.84 = 164.74 : x
  2. Step 2: Convert to fraction form
    286.40/429.84 = 164.74/x
  3. Step 3: Cross multiply
    286.40x = 429.84 × 164.74
  4. Step 4: Simplify right side
    286.40x = 70,811.84
  5. Step 5: Solve for x
    x = 70,811.84/286.40
  6. Step 6: Final answer
    x = 247.25

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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.