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Finding the Fourth Proportional to 448.01, 672.10 and 155.49

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Solution

The fourth proportional to 448.01, 672.10 and 155.49 is: 233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.01 : 672.10 = 155.49 : x
  2. Step 2: Convert to fraction form
    448.01/672.10 = 155.49/x
  3. Step 3: Cross multiply
    448.01x = 672.10 × 155.49
  4. Step 4: Simplify right side
    448.01x = 104,504.83
  5. Step 5: Solve for x
    x = 104,504.83/448.01
  6. Step 6: Final answer
    x = 233.26

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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.