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Finding the Fourth Proportional to 286.84, 429.85 and 164.93

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Solution

The fourth proportional to 286.84, 429.85 and 164.93 is: 247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.84 : 429.85 = 164.93 : x
  2. Step 2: Convert to fraction form
    286.84/429.85 = 164.93/x
  3. Step 3: Cross multiply
    286.84x = 429.85 × 164.93
  4. Step 4: Simplify right side
    286.84x = 70,894.34
  5. Step 5: Solve for x
    x = 70,894.34/286.84
  6. Step 6: Final answer
    x = 247.16

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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.