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Finding the Fourth Proportional to 286.64, 429.54 and 142.07

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Solution

The fourth proportional to 286.64, 429.54 and 142.07 is: 212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 429.54 = 142.07 : x
  2. Step 2: Convert to fraction form
    286.64/429.54 = 142.07/x
  3. Step 3: Cross multiply
    286.64x = 429.54 × 142.07
  4. Step 4: Simplify right side
    286.64x = 61,024.75
  5. Step 5: Solve for x
    x = 61,024.75/286.64
  6. Step 6: Final answer
    x = 212.90

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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.