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Finding the Fourth Proportional to 445.64, 668.06 and 157.02

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Solution

The fourth proportional to 445.64, 668.06 and 157.02 is: 235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.64 : 668.06 = 157.02 : x
  2. Step 2: Convert to fraction form
    445.64/668.06 = 157.02/x
  3. Step 3: Cross multiply
    445.64x = 668.06 × 157.02
  4. Step 4: Simplify right side
    445.64x = 104,898.78
  5. Step 5: Solve for x
    x = 104,898.78/445.64
  6. Step 6: Final answer
    x = 235.39

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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.