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Finding the Fourth Proportional to 340.21, 469.62 and 216.06

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Solution

The fourth proportional to 340.21, 469.62 and 216.06 is: 298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.21 : 469.62 = 216.06 : x
  2. Step 2: Convert to fraction form
    340.21/469.62 = 216.06/x
  3. Step 3: Cross multiply
    340.21x = 469.62 × 216.06
  4. Step 4: Simplify right side
    340.21x = 101,464.34
  5. Step 5: Solve for x
    x = 101,464.34/340.21
  6. Step 6: Final answer
    x = 298.24

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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.