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Finding the Fourth Proportional to 448.64, 672.54 and 160.04

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Solution

The fourth proportional to 448.64, 672.54 and 160.04 is: 239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.64 : 672.54 = 160.04 : x
  2. Step 2: Convert to fraction form
    448.64/672.54 = 160.04/x
  3. Step 3: Cross multiply
    448.64x = 672.54 × 160.04
  4. Step 4: Simplify right side
    448.64x = 107,633.30
  5. Step 5: Solve for x
    x = 107,633.30/448.64
  6. Step 6: Final answer
    x = 239.91

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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.