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Finding the Fourth Proportional to 179.85, 247.88 and 156.77

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Solution

The fourth proportional to 179.85, 247.88 and 156.77 is: 216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.85 : 247.88 = 156.77 : x
  2. Step 2: Convert to fraction form
    179.85/247.88 = 156.77/x
  3. Step 3: Cross multiply
    179.85x = 247.88 × 156.77
  4. Step 4: Simplify right side
    179.85x = 38,859.30
  5. Step 5: Solve for x
    x = 38,859.30/179.85
  6. Step 6: Final answer
    x = 216.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.