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Finding the Fourth Proportional to 377.58, 566.46 and 146.40

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Solution

The fourth proportional to 377.58, 566.46 and 146.40 is: 219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.58 : 566.46 = 146.40 : x
  2. Step 2: Convert to fraction form
    377.58/566.46 = 146.40/x
  3. Step 3: Cross multiply
    377.58x = 566.46 × 146.40
  4. Step 4: Simplify right side
    377.58x = 82,931.53
  5. Step 5: Solve for x
    x = 82,931.53/377.58
  6. Step 6: Final answer
    x = 219.64

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