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Finding the Fourth Proportional to 301.51, 416.21 and 202.08

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Solution

The fourth proportional to 301.51, 416.21 and 202.08 is: 278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.51 : 416.21 = 202.08 : x
  2. Step 2: Convert to fraction form
    301.51/416.21 = 202.08/x
  3. Step 3: Cross multiply
    301.51x = 416.21 × 202.08
  4. Step 4: Simplify right side
    301.51x = 84,106.68
  5. Step 5: Solve for x
    x = 84,106.68/301.51
  6. Step 6: Final answer
    x = 278.96

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