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Finding the Fourth Proportional to 341.48, 471.17 and 201.58

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Solution

The fourth proportional to 341.48, 471.17 and 201.58 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 471.17 = 201.58 : x
  2. Step 2: Convert to fraction form
    341.48/471.17 = 201.58/x
  3. Step 3: Cross multiply
    341.48x = 471.17 × 201.58
  4. Step 4: Simplify right side
    341.48x = 94,977.77
  5. Step 5: Solve for x
    x = 94,977.77/341.48
  6. Step 6: Final answer
    x = 278.13

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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.