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Finding the Fourth Proportional to 177.58, 266.42 and 85.10

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Solution

The fourth proportional to 177.58, 266.42 and 85.10 is: 127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.58 : 266.42 = 85.10 : x
  2. Step 2: Convert to fraction form
    177.58/266.42 = 85.10/x
  3. Step 3: Cross multiply
    177.58x = 266.42 × 85.10
  4. Step 4: Simplify right side
    177.58x = 22,671.58
  5. Step 5: Solve for x
    x = 22,671.58/177.58
  6. Step 6: Final answer
    x = 127.67

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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.