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Finding the Fourth Proportional to 188.34, 259.84 and 110.67

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Solution

The fourth proportional to 188.34, 259.84 and 110.67 is: 152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.34 : 259.84 = 110.67 : x
  2. Step 2: Convert to fraction form
    188.34/259.84 = 110.67/x
  3. Step 3: Cross multiply
    188.34x = 259.84 × 110.67
  4. Step 4: Simplify right side
    188.34x = 28,756.49
  5. Step 5: Solve for x
    x = 28,756.49/188.34
  6. Step 6: Final answer
    x = 152.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.