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Finding the Fourth Proportional to 264.23, 395.65 and 177.42

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Solution

The fourth proportional to 264.23, 395.65 and 177.42 is: 265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.23 : 395.65 = 177.42 : x
  2. Step 2: Convert to fraction form
    264.23/395.65 = 177.42/x
  3. Step 3: Cross multiply
    264.23x = 395.65 × 177.42
  4. Step 4: Simplify right side
    264.23x = 70,196.22
  5. Step 5: Solve for x
    x = 70,196.22/264.23
  6. Step 6: Final answer
    x = 265.66

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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.