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Finding the Fourth Proportional to 177.69, 266.20 and 148.99

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Solution

The fourth proportional to 177.69, 266.20 and 148.99 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.69 : 266.20 = 148.99 : x
  2. Step 2: Convert to fraction form
    177.69/266.20 = 148.99/x
  3. Step 3: Cross multiply
    177.69x = 266.20 × 148.99
  4. Step 4: Simplify right side
    177.69x = 39,661.14
  5. Step 5: Solve for x
    x = 39,661.14/177.69
  6. Step 6: Final answer
    x = 223.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.