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Finding the Fourth Proportional to 177.64, 265.86 and 154.84

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Solution

The fourth proportional to 177.64, 265.86 and 154.84 is: 231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.64 : 265.86 = 154.84 : x
  2. Step 2: Convert to fraction form
    177.64/265.86 = 154.84/x
  3. Step 3: Cross multiply
    177.64x = 265.86 × 154.84
  4. Step 4: Simplify right side
    177.64x = 41,165.76
  5. Step 5: Solve for x
    x = 41,165.76/177.64
  6. Step 6: Final answer
    x = 231.74

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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.