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Finding the Fourth Proportional to 177.02, 265.43 and 104.93

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Solution

The fourth proportional to 177.02, 265.43 and 104.93 is: 157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 265.43 = 104.93 : x
  2. Step 2: Convert to fraction form
    177.02/265.43 = 104.93/x
  3. Step 3: Cross multiply
    177.02x = 265.43 × 104.93
  4. Step 4: Simplify right side
    177.02x = 27,851.57
  5. Step 5: Solve for x
    x = 27,851.57/177.02
  6. Step 6: Final answer
    x = 157.34

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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.