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Finding the Fourth Proportional to 177.50, 265.98 and 96.26

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Solution

The fourth proportional to 177.50, 265.98 and 96.26 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 265.98 = 96.26 : x
  2. Step 2: Convert to fraction form
    177.50/265.98 = 96.26/x
  3. Step 3: Cross multiply
    177.50x = 265.98 × 96.26
  4. Step 4: Simplify right side
    177.50x = 25,603.23
  5. Step 5: Solve for x
    x = 25,603.23/177.50
  6. Step 6: Final answer
    x = 144.24

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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.