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Finding the Fourth Proportional to 384.78, 577.07 and 179.15

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Solution

The fourth proportional to 384.78, 577.07 and 179.15 is: 268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 577.07 = 179.15 : x
  2. Step 2: Convert to fraction form
    384.78/577.07 = 179.15/x
  3. Step 3: Cross multiply
    384.78x = 577.07 × 179.15
  4. Step 4: Simplify right side
    384.78x = 103,378.98
  5. Step 5: Solve for x
    x = 103,378.98/384.78
  6. Step 6: Final answer
    x = 268.67

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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.