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Finding the Fourth Proportional to 508.88, 763.32 and 143.67

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Solution

The fourth proportional to 508.88, 763.32 and 143.67 is: 215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.88 : 763.32 = 143.67 : x
  2. Step 2: Convert to fraction form
    508.88/763.32 = 143.67/x
  3. Step 3: Cross multiply
    508.88x = 763.32 × 143.67
  4. Step 4: Simplify right side
    508.88x = 109,663.92
  5. Step 5: Solve for x
    x = 109,663.92/508.88
  6. Step 6: Final answer
    x = 215.50

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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.