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Finding the Fourth Proportional to 340.93, 470.52 and 201.05

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Solution

The fourth proportional to 340.93, 470.52 and 201.05 is: 277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.93 : 470.52 = 201.05 : x
  2. Step 2: Convert to fraction form
    340.93/470.52 = 201.05/x
  3. Step 3: Cross multiply
    340.93x = 470.52 × 201.05
  4. Step 4: Simplify right side
    340.93x = 94,598.05
  5. Step 5: Solve for x
    x = 94,598.05/340.93
  6. Step 6: Final answer
    x = 277.47

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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.