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Finding the Fourth Proportional to 176.23, 265.07 and 159.67

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Solution

The fourth proportional to 176.23, 265.07 and 159.67 is: 240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.23 : 265.07 = 159.67 : x
  2. Step 2: Convert to fraction form
    176.23/265.07 = 159.67/x
  3. Step 3: Cross multiply
    176.23x = 265.07 × 159.67
  4. Step 4: Simplify right side
    176.23x = 42,323.73
  5. Step 5: Solve for x
    x = 42,323.73/176.23
  6. Step 6: Final answer
    x = 240.16

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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.