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Finding the Fourth Proportional to 176.48, 264.28 and 138.02

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Solution

The fourth proportional to 176.48, 264.28 and 138.02 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.48 : 264.28 = 138.02 : x
  2. Step 2: Convert to fraction form
    176.48/264.28 = 138.02/x
  3. Step 3: Cross multiply
    176.48x = 264.28 × 138.02
  4. Step 4: Simplify right side
    176.48x = 36,475.93
  5. Step 5: Solve for x
    x = 36,475.93/176.48
  6. Step 6: Final answer
    x = 206.69

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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.