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Finding the Fourth Proportional to 176.36, 265.46 and 159.60

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Solution

The fourth proportional to 176.36, 265.46 and 159.60 is: 240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.36 : 265.46 = 159.60 : x
  2. Step 2: Convert to fraction form
    176.36/265.46 = 159.60/x
  3. Step 3: Cross multiply
    176.36x = 265.46 × 159.60
  4. Step 4: Simplify right side
    176.36x = 42,367.42
  5. Step 5: Solve for x
    x = 42,367.42/176.36
  6. Step 6: Final answer
    x = 240.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.