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Finding the Fourth Proportional to 202.45, 302.91 and 124.08

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Solution

The fourth proportional to 202.45, 302.91 and 124.08 is: 185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.45 : 302.91 = 124.08 : x
  2. Step 2: Convert to fraction form
    202.45/302.91 = 124.08/x
  3. Step 3: Cross multiply
    202.45x = 302.91 × 124.08
  4. Step 4: Simplify right side
    202.45x = 37,585.07
  5. Step 5: Solve for x
    x = 37,585.07/202.45
  6. Step 6: Final answer
    x = 185.65

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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.