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Finding the Fourth Proportional to 177.63, 266.10 and 138.93

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Solution

The fourth proportional to 177.63, 266.10 and 138.93 is: 208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.63 : 266.10 = 138.93 : x
  2. Step 2: Convert to fraction form
    177.63/266.10 = 138.93/x
  3. Step 3: Cross multiply
    177.63x = 266.10 × 138.93
  4. Step 4: Simplify right side
    177.63x = 36,967.94
  5. Step 5: Solve for x
    x = 36,967.94/177.63
  6. Step 6: Final answer
    x = 208.12

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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.