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Finding the Fourth Proportional to 177.50, 244.14 and 155.63

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Solution

The fourth proportional to 177.50, 244.14 and 155.63 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 244.14 = 155.63 : x
  2. Step 2: Convert to fraction form
    177.50/244.14 = 155.63/x
  3. Step 3: Cross multiply
    177.50x = 244.14 × 155.63
  4. Step 4: Simplify right side
    177.50x = 37,995.51
  5. Step 5: Solve for x
    x = 37,995.51/177.50
  6. Step 6: Final answer
    x = 214.06

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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.