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Finding the Fourth Proportional to 377.59, 566.39 and 117.58

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Solution

The fourth proportional to 377.59, 566.39 and 117.58 is: 176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.59 : 566.39 = 117.58 : x
  2. Step 2: Convert to fraction form
    377.59/566.39 = 117.58/x
  3. Step 3: Cross multiply
    377.59x = 566.39 × 117.58
  4. Step 4: Simplify right side
    377.59x = 66,596.14
  5. Step 5: Solve for x
    x = 66,596.14/377.59
  6. Step 6: Final answer
    x = 176.37

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Why These Related Problems?

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