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Finding the Fourth Proportional to 177.68, 245.48 and 128.46

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Solution

The fourth proportional to 177.68, 245.48 and 128.46 is: 177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 245.48 = 128.46 : x
  2. Step 2: Convert to fraction form
    177.68/245.48 = 128.46/x
  3. Step 3: Cross multiply
    177.68x = 245.48 × 128.46
  4. Step 4: Simplify right side
    177.68x = 31,534.36
  5. Step 5: Solve for x
    x = 31,534.36/177.68
  6. Step 6: Final answer
    x = 177.48

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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.