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Finding the Fourth Proportional to 505.22, 758.16 and 216.66

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Solution

The fourth proportional to 505.22, 758.16 and 216.66 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 758.16 = 216.66 : x
  2. Step 2: Convert to fraction form
    505.22/758.16 = 216.66/x
  3. Step 3: Cross multiply
    505.22x = 758.16 × 216.66
  4. Step 4: Simplify right side
    505.22x = 164,262.95
  5. Step 5: Solve for x
    x = 164,262.95/505.22
  6. Step 6: Final answer
    x = 325.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.