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Finding the Fourth Proportional to 442.37, 663.48 and 117.77

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Solution

The fourth proportional to 442.37, 663.48 and 117.77 is: 176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.37 : 663.48 = 117.77 : x
  2. Step 2: Convert to fraction form
    442.37/663.48 = 117.77/x
  3. Step 3: Cross multiply
    442.37x = 663.48 × 117.77
  4. Step 4: Simplify right side
    442.37x = 78,134.72
  5. Step 5: Solve for x
    x = 78,134.72/442.37
  6. Step 6: Final answer
    x = 176.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.