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Finding the Fourth Proportional to 349.51, 482.31 and 202.15

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Solution

The fourth proportional to 349.51, 482.31 and 202.15 is: 278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.51 : 482.31 = 202.15 : x
  2. Step 2: Convert to fraction form
    349.51/482.31 = 202.15/x
  3. Step 3: Cross multiply
    349.51x = 482.31 × 202.15
  4. Step 4: Simplify right side
    349.51x = 97,498.97
  5. Step 5: Solve for x
    x = 97,498.97/349.51
  6. Step 6: Final answer
    x = 278.96

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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.