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Finding the Fourth Proportional to 442.64, 664.01 and 118.01

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Solution

The fourth proportional to 442.64, 664.01 and 118.01 is: 177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 664.01 = 118.01 : x
  2. Step 2: Convert to fraction form
    442.64/664.01 = 118.01/x
  3. Step 3: Cross multiply
    442.64x = 664.01 × 118.01
  4. Step 4: Simplify right side
    442.64x = 78,359.82
  5. Step 5: Solve for x
    x = 78,359.82/442.64
  6. Step 6: Final answer
    x = 177.03

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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.