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Finding the Fourth Proportional to 377.58, 566.36 and 103.67

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Solution

The fourth proportional to 377.58, 566.36 and 103.67 is: 155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.58 : 566.36 = 103.67 : x
  2. Step 2: Convert to fraction form
    377.58/566.36 = 103.67/x
  3. Step 3: Cross multiply
    377.58x = 566.36 × 103.67
  4. Step 4: Simplify right side
    377.58x = 58,714.02
  5. Step 5: Solve for x
    x = 58,714.02/377.58
  6. Step 6: Final answer
    x = 155.50

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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.