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Finding the Fourth Proportional to 213.07, 320.64 and 176.80

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Solution

The fourth proportional to 213.07, 320.64 and 176.80 is: 266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 320.64 = 176.80 : x
  2. Step 2: Convert to fraction form
    213.07/320.64 = 176.80/x
  3. Step 3: Cross multiply
    213.07x = 320.64 × 176.80
  4. Step 4: Simplify right side
    213.07x = 56,689.15
  5. Step 5: Solve for x
    x = 56,689.15/213.07
  6. Step 6: Final answer
    x = 266.06

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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.