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Finding the Fourth Proportional to 177.02, 244.04 and 142.16

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Solution

The fourth proportional to 177.02, 244.04 and 142.16 is: 195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 244.04 = 142.16 : x
  2. Step 2: Convert to fraction form
    177.02/244.04 = 142.16/x
  3. Step 3: Cross multiply
    177.02x = 244.04 × 142.16
  4. Step 4: Simplify right side
    177.02x = 34,690.80
  5. Step 5: Solve for x
    x = 34,690.80/177.02
  6. Step 6: Final answer
    x = 195.98

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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.