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Finding the Fourth Proportional to 177.57, 245.01 and 107.63

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Solution

The fourth proportional to 177.57, 245.01 and 107.63 is: 148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.57 : 245.01 = 107.63 : x
  2. Step 2: Convert to fraction form
    177.57/245.01 = 107.63/x
  3. Step 3: Cross multiply
    177.57x = 245.01 × 107.63
  4. Step 4: Simplify right side
    177.57x = 26,369.20
  5. Step 5: Solve for x
    x = 26,369.20/177.57
  6. Step 6: Final answer
    x = 148.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.