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Finding the Fourth Proportional to 188.95, 283.59 and 97.72

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Solution

The fourth proportional to 188.95, 283.59 and 97.72 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.95 : 283.59 = 97.72 : x
  2. Step 2: Convert to fraction form
    188.95/283.59 = 97.72/x
  3. Step 3: Cross multiply
    188.95x = 283.59 × 97.72
  4. Step 4: Simplify right side
    188.95x = 27,712.41
  5. Step 5: Solve for x
    x = 27,712.41/188.95
  6. Step 6: Final answer
    x = 146.67

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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.