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Finding the Fourth Proportional to 219.76, 328.87 and 176.32

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Solution

The fourth proportional to 219.76, 328.87 and 176.32 is: 263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.76 : 328.87 = 176.32 : x
  2. Step 2: Convert to fraction form
    219.76/328.87 = 176.32/x
  3. Step 3: Cross multiply
    219.76x = 328.87 × 176.32
  4. Step 4: Simplify right side
    219.76x = 57,985.10
  5. Step 5: Solve for x
    x = 57,985.10/219.76
  6. Step 6: Final answer
    x = 263.86

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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.