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Finding the Fourth Proportional to 193.34, 266.82 and 110.50

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Solution

The fourth proportional to 193.34, 266.82 and 110.50 is: 152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.34 : 266.82 = 110.50 : x
  2. Step 2: Convert to fraction form
    193.34/266.82 = 110.50/x
  3. Step 3: Cross multiply
    193.34x = 266.82 × 110.50
  4. Step 4: Simplify right side
    193.34x = 29,482.53
  5. Step 5: Solve for x
    x = 29,482.53/193.34
  6. Step 6: Final answer
    x = 152.49

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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.