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Finding the Fourth Proportional to 177.54, 266.33 and 105.40

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Solution

The fourth proportional to 177.54, 266.33 and 105.40 is: 158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.54 : 266.33 = 105.40 : x
  2. Step 2: Convert to fraction form
    177.54/266.33 = 105.40/x
  3. Step 3: Cross multiply
    177.54x = 266.33 × 105.40
  4. Step 4: Simplify right side
    177.54x = 28,071.18
  5. Step 5: Solve for x
    x = 28,071.18/177.54
  6. Step 6: Final answer
    x = 158.11

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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.