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Finding the Fourth Proportional to 286.86, 430.35 and 164.91

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Solution

The fourth proportional to 286.86, 430.35 and 164.91 is: 247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 430.35 = 164.91 : x
  2. Step 2: Convert to fraction form
    286.86/430.35 = 164.91/x
  3. Step 3: Cross multiply
    286.86x = 430.35 × 164.91
  4. Step 4: Simplify right side
    286.86x = 70,969.02
  5. Step 5: Solve for x
    x = 70,969.02/286.86
  6. Step 6: Final answer
    x = 247.40

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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.