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Finding the Fourth Proportional to 177.26, 264.76 and 152.96

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Solution

The fourth proportional to 177.26, 264.76 and 152.96 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.26 : 264.76 = 152.96 : x
  2. Step 2: Convert to fraction form
    177.26/264.76 = 152.96/x
  3. Step 3: Cross multiply
    177.26x = 264.76 × 152.96
  4. Step 4: Simplify right side
    177.26x = 40,497.69
  5. Step 5: Solve for x
    x = 40,497.69/177.26
  6. Step 6: Final answer
    x = 228.46

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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.