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Finding the Fourth Proportional to 286.40, 429.71 and 164.77

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Solution

The fourth proportional to 286.40, 429.71 and 164.77 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 429.71 = 164.77 : x
  2. Step 2: Convert to fraction form
    286.40/429.71 = 164.77/x
  3. Step 3: Cross multiply
    286.40x = 429.71 × 164.77
  4. Step 4: Simplify right side
    286.40x = 70,801.42
  5. Step 5: Solve for x
    x = 70,801.42/286.40
  6. Step 6: Final answer
    x = 247.21

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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.