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Finding the Fourth Proportional to 286.02, 429.69 and 164.58

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Solution

The fourth proportional to 286.02, 429.69 and 164.58 is: 247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 429.69 = 164.58 : x
  2. Step 2: Convert to fraction form
    286.02/429.69 = 164.58/x
  3. Step 3: Cross multiply
    286.02x = 429.69 × 164.58
  4. Step 4: Simplify right side
    286.02x = 70,718.38
  5. Step 5: Solve for x
    x = 70,718.38/286.02
  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.