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Finding the Fourth Proportional to 647.98, 972.09 and 185.76

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Solution

The fourth proportional to 647.98, 972.09 and 185.76 is: 278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.98 : 972.09 = 185.76 : x
  2. Step 2: Convert to fraction form
    647.98/972.09 = 185.76/x
  3. Step 3: Cross multiply
    647.98x = 972.09 × 185.76
  4. Step 4: Simplify right side
    647.98x = 180,575.44
  5. Step 5: Solve for x
    x = 180,575.44/647.98
  6. Step 6: Final answer
    x = 278.67

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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.