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Finding the Fourth Proportional to 177.09, 265.64 and 74.35

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Solution

The fourth proportional to 177.09, 265.64 and 74.35 is: 111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.09 : 265.64 = 74.35 : x
  2. Step 2: Convert to fraction form
    177.09/265.64 = 74.35/x
  3. Step 3: Cross multiply
    177.09x = 265.64 × 74.35
  4. Step 4: Simplify right side
    177.09x = 19,750.33
  5. Step 5: Solve for x
    x = 19,750.33/177.09
  6. Step 6: Final answer
    x = 111.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.