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Finding the Fourth Proportional to 176.77, 264.97 and 152.31

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Solution

The fourth proportional to 176.77, 264.97 and 152.31 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 264.97 = 152.31 : x
  2. Step 2: Convert to fraction form
    176.77/264.97 = 152.31/x
  3. Step 3: Cross multiply
    176.77x = 264.97 × 152.31
  4. Step 4: Simplify right side
    176.77x = 40,357.58
  5. Step 5: Solve for x
    x = 40,357.58/176.77
  6. Step 6: Final answer
    x = 228.31

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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.