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Finding the Fourth Proportional to 301.48, 416.19 and 202.06

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Solution

The fourth proportional to 301.48, 416.19 and 202.06 is: 278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 416.19 = 202.06 : x
  2. Step 2: Convert to fraction form
    301.48/416.19 = 202.06/x
  3. Step 3: Cross multiply
    301.48x = 416.19 × 202.06
  4. Step 4: Simplify right side
    301.48x = 84,095.35
  5. Step 5: Solve for x
    x = 84,095.35/301.48
  6. Step 6: Final answer
    x = 278.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.