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Finding the Fourth Proportional to 176.32, 264 and 144.64

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Solution

The fourth proportional to 176.32, 264 and 144.64 is: 216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.32 : 264 = 144.64 : x
  2. Step 2: Convert to fraction form
    176.32/264 = 144.64/x
  3. Step 3: Cross multiply
    176.32x = 264 × 144.64
  4. Step 4: Simplify right side
    176.32x = 38,184.96
  5. Step 5: Solve for x
    x = 38,184.96/176.32
  6. Step 6: Final answer
    x = 216.57

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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.