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Finding the Fourth Proportional to 176.61, 263.65 and 152.23

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Solution

The fourth proportional to 176.61, 263.65 and 152.23 is: 227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.61 : 263.65 = 152.23 : x
  2. Step 2: Convert to fraction form
    176.61/263.65 = 152.23/x
  3. Step 3: Cross multiply
    176.61x = 263.65 × 152.23
  4. Step 4: Simplify right side
    176.61x = 40,135.44
  5. Step 5: Solve for x
    x = 40,135.44/176.61
  6. Step 6: Final answer
    x = 227.25

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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.