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Finding the Fourth Proportional to 228.42, 314.99 and 163.01

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Solution

The fourth proportional to 228.42, 314.99 and 163.01 is: 224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 314.99 = 163.01 : x
  2. Step 2: Convert to fraction form
    228.42/314.99 = 163.01/x
  3. Step 3: Cross multiply
    228.42x = 314.99 × 163.01
  4. Step 4: Simplify right side
    228.42x = 51,347.10
  5. Step 5: Solve for x
    x = 51,347.10/228.42
  6. Step 6: Final answer
    x = 224.79

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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.