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Finding the Fourth Proportional to 177.84, 244.90 and 128.63

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Solution

The fourth proportional to 177.84, 244.90 and 128.63 is: 177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 244.90 = 128.63 : x
  2. Step 2: Convert to fraction form
    177.84/244.90 = 128.63/x
  3. Step 3: Cross multiply
    177.84x = 244.90 × 128.63
  4. Step 4: Simplify right side
    177.84x = 31,501.49
  5. Step 5: Solve for x
    x = 31,501.49/177.84
  6. Step 6: Final answer
    x = 177.13

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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.