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Finding the Fourth Proportional to 153.30, 212.97 and 151.80

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Solution

The fourth proportional to 153.30, 212.97 and 151.80 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.30 : 212.97 = 151.80 : x
  2. Step 2: Convert to fraction form
    153.30/212.97 = 151.80/x
  3. Step 3: Cross multiply
    153.30x = 212.97 × 151.80
  4. Step 4: Simplify right side
    153.30x = 32,328.85
  5. Step 5: Solve for x
    x = 32,328.85/153.30
  6. Step 6: Final answer
    x = 210.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.