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Finding the Fourth Proportional to 177.86, 266.47 and 148.94

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Solution

The fourth proportional to 177.86, 266.47 and 148.94 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.86 : 266.47 = 148.94 : x
  2. Step 2: Convert to fraction form
    177.86/266.47 = 148.94/x
  3. Step 3: Cross multiply
    177.86x = 266.47 × 148.94
  4. Step 4: Simplify right side
    177.86x = 39,688.04
  5. Step 5: Solve for x
    x = 39,688.04/177.86
  6. Step 6: Final answer
    x = 223.14

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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.