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Finding the Fourth Proportional to 202.16, 303.14 and 124.10

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Solution

The fourth proportional to 202.16, 303.14 and 124.10 is: 186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 303.14 = 124.10 : x
  2. Step 2: Convert to fraction form
    202.16/303.14 = 124.10/x
  3. Step 3: Cross multiply
    202.16x = 303.14 × 124.10
  4. Step 4: Simplify right side
    202.16x = 37,619.67
  5. Step 5: Solve for x
    x = 37,619.67/202.16
  6. Step 6: Final answer
    x = 186.09

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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.