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Finding the Fourth Proportional to 364.17, 546.03 and 158.67

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Solution

The fourth proportional to 364.17, 546.03 and 158.67 is: 237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.17 : 546.03 = 158.67 : x
  2. Step 2: Convert to fraction form
    364.17/546.03 = 158.67/x
  3. Step 3: Cross multiply
    364.17x = 546.03 × 158.67
  4. Step 4: Simplify right side
    364.17x = 86,638.58
  5. Step 5: Solve for x
    x = 86,638.58/364.17
  6. Step 6: Final answer
    x = 237.91

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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.