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Finding the Fourth Proportional to 225.80, 311.64 and 152.08

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Solution

The fourth proportional to 225.80, 311.64 and 152.08 is: 209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.80 : 311.64 = 152.08 : x
  2. Step 2: Convert to fraction form
    225.80/311.64 = 152.08/x
  3. Step 3: Cross multiply
    225.80x = 311.64 × 152.08
  4. Step 4: Simplify right side
    225.80x = 47,394.21
  5. Step 5: Solve for x
    x = 47,394.21/225.80
  6. Step 6: Final answer
    x = 209.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.