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Finding the Fourth Proportional to 202.15, 302.86 and 130.15

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Solution

The fourth proportional to 202.15, 302.86 and 130.15 is: 194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.15 : 302.86 = 130.15 : x
  2. Step 2: Convert to fraction form
    202.15/302.86 = 130.15/x
  3. Step 3: Cross multiply
    202.15x = 302.86 × 130.15
  4. Step 4: Simplify right side
    202.15x = 39,417.23
  5. Step 5: Solve for x
    x = 39,417.23/202.15
  6. Step 6: Final answer
    x = 194.99

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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.