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Finding the Fourth Proportional to 212.84, 319.50 and 152.03

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Solution

The fourth proportional to 212.84, 319.50 and 152.03 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 319.50 = 152.03 : x
  2. Step 2: Convert to fraction form
    212.84/319.50 = 152.03/x
  3. Step 3: Cross multiply
    212.84x = 319.50 × 152.03
  4. Step 4: Simplify right side
    212.84x = 48,571.99
  5. Step 5: Solve for x
    x = 48,571.99/212.84
  6. Step 6: Final answer
    x = 228.21

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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.