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Finding the Fourth Proportional to 341.06, 470.58 and 201.12

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Solution

The fourth proportional to 341.06, 470.58 and 201.12 is: 277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.06 : 470.58 = 201.12 : x
  2. Step 2: Convert to fraction form
    341.06/470.58 = 201.12/x
  3. Step 3: Cross multiply
    341.06x = 470.58 × 201.12
  4. Step 4: Simplify right side
    341.06x = 94,643.05
  5. Step 5: Solve for x
    x = 94,643.05/341.06
  6. Step 6: Final answer
    x = 277.50

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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.