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Finding the Fourth Proportional to 325.34, 488.35 and 188.66

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Solution

The fourth proportional to 325.34, 488.35 and 188.66 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.34 : 488.35 = 188.66 : x
  2. Step 2: Convert to fraction form
    325.34/488.35 = 188.66/x
  3. Step 3: Cross multiply
    325.34x = 488.35 × 188.66
  4. Step 4: Simplify right side
    325.34x = 92,129.67
  5. Step 5: Solve for x
    x = 92,129.67/325.34
  6. Step 6: Final answer
    x = 283.18

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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.