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Finding the Fourth Proportional to 448.06, 672.08 and 174.08

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Solution

The fourth proportional to 448.06, 672.08 and 174.08 is: 261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.06 : 672.08 = 174.08 : x
  2. Step 2: Convert to fraction form
    448.06/672.08 = 174.08/x
  3. Step 3: Cross multiply
    448.06x = 672.08 × 174.08
  4. Step 4: Simplify right side
    448.06x = 116,995.69
  5. Step 5: Solve for x
    x = 116,995.69/448.06
  6. Step 6: Final answer
    x = 261.12

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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.