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Finding the Fourth Proportional to 177.51, 245.00 and 103.87

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Solution

The fourth proportional to 177.51, 245.00 and 103.87 is: 143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.51 : 245.00 = 103.87 : x
  2. Step 2: Convert to fraction form
    177.51/245.00 = 103.87/x
  3. Step 3: Cross multiply
    177.51x = 245.00 × 103.87
  4. Step 4: Simplify right side
    177.51x = 25,446.41
  5. Step 5: Solve for x
    x = 25,446.41/177.51
  6. Step 6: Final answer
    x = 143.35

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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.