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Finding the Fourth Proportional to 340.16, 468.42 and 252.68

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Solution

The fourth proportional to 340.16, 468.42 and 252.68 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 468.42 = 252.68 : x
  2. Step 2: Convert to fraction form
    340.16/468.42 = 252.68/x
  3. Step 3: Cross multiply
    340.16x = 468.42 × 252.68
  4. Step 4: Simplify right side
    340.16x = 118,360.37
  5. Step 5: Solve for x
    x = 118,360.37/340.16
  6. Step 6: Final answer
    x = 347.95

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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.