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Finding the Fourth Proportional to 201.86, 302.93 and 86.30

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Solution

The fourth proportional to 201.86, 302.93 and 86.30 is: 129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.86 : 302.93 = 86.30 : x
  2. Step 2: Convert to fraction form
    201.86/302.93 = 86.30/x
  3. Step 3: Cross multiply
    201.86x = 302.93 × 86.30
  4. Step 4: Simplify right side
    201.86x = 26,140.91
  5. Step 5: Solve for x
    x = 26,140.91/201.86
  6. Step 6: Final answer
    x = 129.50

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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.