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Finding the Fourth Proportional to 177.63, 264.59 and 173.58

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Solution

The fourth proportional to 177.63, 264.59 and 173.58 is: 258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.63 : 264.59 = 173.58 : x
  2. Step 2: Convert to fraction form
    177.63/264.59 = 173.58/x
  3. Step 3: Cross multiply
    177.63x = 264.59 × 173.58
  4. Step 4: Simplify right side
    177.63x = 45,926.66
  5. Step 5: Solve for x
    x = 45,926.66/177.63
  6. Step 6: Final answer
    x = 258.55

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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.