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Finding the Fourth Proportional to 340.53, 469.95 and 216.14

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Solution

The fourth proportional to 340.53, 469.95 and 216.14 is: 298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.53 : 469.95 = 216.14 : x
  2. Step 2: Convert to fraction form
    340.53/469.95 = 216.14/x
  3. Step 3: Cross multiply
    340.53x = 469.95 × 216.14
  4. Step 4: Simplify right side
    340.53x = 101,574.99
  5. Step 5: Solve for x
    x = 101,574.99/340.53
  6. Step 6: Final answer
    x = 298.29

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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.