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Finding the Fourth Proportional to 216.77, 325.03 and 101.14

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Solution

The fourth proportional to 216.77, 325.03 and 101.14 is: 151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.77 : 325.03 = 101.14 : x
  2. Step 2: Convert to fraction form
    216.77/325.03 = 101.14/x
  3. Step 3: Cross multiply
    216.77x = 325.03 × 101.14
  4. Step 4: Simplify right side
    216.77x = 32,873.28
  5. Step 5: Solve for x
    x = 32,873.28/216.77
  6. Step 6: Final answer
    x = 151.65

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Why These Related Problems?

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