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Finding the Fourth Proportional to 568.84, 852.94 and 178.67

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Solution

The fourth proportional to 568.84, 852.94 and 178.67 is: 267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.84 : 852.94 = 178.67 : x
  2. Step 2: Convert to fraction form
    568.84/852.94 = 178.67/x
  3. Step 3: Cross multiply
    568.84x = 852.94 × 178.67
  4. Step 4: Simplify right side
    568.84x = 152,393.80
  5. Step 5: Solve for x
    x = 152,393.80/568.84
  6. Step 6: Final answer
    x = 267.91

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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.