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Finding the Fourth Proportional to 177.08, 265.46 and 90.35

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Solution

The fourth proportional to 177.08, 265.46 and 90.35 is: 135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 265.46 = 90.35 : x
  2. Step 2: Convert to fraction form
    177.08/265.46 = 90.35/x
  3. Step 3: Cross multiply
    177.08x = 265.46 × 90.35
  4. Step 4: Simplify right side
    177.08x = 23,983.53
  5. Step 5: Solve for x
    x = 23,983.53/177.08
  6. Step 6: Final answer
    x = 135.44

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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.