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Finding the Fourth Proportional to 177.93, 265.48 and 147.69

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Solution

The fourth proportional to 177.93, 265.48 and 147.69 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.93 : 265.48 = 147.69 : x
  2. Step 2: Convert to fraction form
    177.93/265.48 = 147.69/x
  3. Step 3: Cross multiply
    177.93x = 265.48 × 147.69
  4. Step 4: Simplify right side
    177.93x = 39,208.37
  5. Step 5: Solve for x
    x = 39,208.37/177.93
  6. Step 6: Final answer
    x = 220.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.