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Finding the Fourth Proportional to 214.64, 321.26 and 152.90

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Solution

The fourth proportional to 214.64, 321.26 and 152.90 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 321.26 = 152.90 : x
  2. Step 2: Convert to fraction form
    214.64/321.26 = 152.90/x
  3. Step 3: Cross multiply
    214.64x = 321.26 × 152.90
  4. Step 4: Simplify right side
    214.64x = 49,120.65
  5. Step 5: Solve for x
    x = 49,120.65/214.64
  6. Step 6: Final answer
    x = 228.86

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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.