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Finding the Fourth Proportional to 177.49, 264.64 and 174.25

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Solution

The fourth proportional to 177.49, 264.64 and 174.25 is: 259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.49 : 264.64 = 174.25 : x
  2. Step 2: Convert to fraction form
    177.49/264.64 = 174.25/x
  3. Step 3: Cross multiply
    177.49x = 264.64 × 174.25
  4. Step 4: Simplify right side
    177.49x = 46,113.96
  5. Step 5: Solve for x
    x = 46,113.96/177.49
  6. Step 6: Final answer
    x = 259.81

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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.