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Finding the Fourth Proportional to 177.13, 244.83 and 161.53

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Solution

The fourth proportional to 177.13, 244.83 and 161.53 is: 223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.13 : 244.83 = 161.53 : x
  2. Step 2: Convert to fraction form
    177.13/244.83 = 161.53/x
  3. Step 3: Cross multiply
    177.13x = 244.83 × 161.53
  4. Step 4: Simplify right side
    177.13x = 39,547.39
  5. Step 5: Solve for x
    x = 39,547.39/177.13
  6. Step 6: Final answer
    x = 223.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.