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Finding the Fourth Proportional to 341.02, 470.64 and 201.13

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Solution

The fourth proportional to 341.02, 470.64 and 201.13 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.02 : 470.64 = 201.13 : x
  2. Step 2: Convert to fraction form
    341.02/470.64 = 201.13/x
  3. Step 3: Cross multiply
    341.02x = 470.64 × 201.13
  4. Step 4: Simplify right side
    341.02x = 94,659.82
  5. Step 5: Solve for x
    x = 94,659.82/341.02
  6. Step 6: Final answer
    x = 277.58

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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.