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Finding the Fourth Proportional to 377.34, 566.08 and 117.36

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Solution

The fourth proportional to 377.34, 566.08 and 117.36 is: 176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.34 : 566.08 = 117.36 : x
  2. Step 2: Convert to fraction form
    377.34/566.08 = 117.36/x
  3. Step 3: Cross multiply
    377.34x = 566.08 × 117.36
  4. Step 4: Simplify right side
    377.34x = 66,434.86
  5. Step 5: Solve for x
    x = 66,434.86/377.34
  6. Step 6: Final answer
    x = 176.06

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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.