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Finding the Fourth Proportional to 216.83, 299.27 and 147.08

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Solution

The fourth proportional to 216.83, 299.27 and 147.08 is: 203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 299.27 = 147.08 : x
  2. Step 2: Convert to fraction form
    216.83/299.27 = 147.08/x
  3. Step 3: Cross multiply
    216.83x = 299.27 × 147.08
  4. Step 4: Simplify right side
    216.83x = 44,017.75
  5. Step 5: Solve for x
    x = 44,017.75/216.83
  6. Step 6: Final answer
    x = 203.00

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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.