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Finding the Fourth Proportional to 289.21, 433.86 and 152.27

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Solution

The fourth proportional to 289.21, 433.86 and 152.27 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.21 : 433.86 = 152.27 : x
  2. Step 2: Convert to fraction form
    289.21/433.86 = 152.27/x
  3. Step 3: Cross multiply
    289.21x = 433.86 × 152.27
  4. Step 4: Simplify right side
    289.21x = 66,062.14
  5. Step 5: Solve for x
    x = 66,062.14/289.21
  6. Step 6: Final answer
    x = 228.42

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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.