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Finding the Fourth Proportional to 364.34, 546.57 and 120.93

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Solution

The fourth proportional to 364.34, 546.57 and 120.93 is: 181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.34 : 546.57 = 120.93 : x
  2. Step 2: Convert to fraction form
    364.34/546.57 = 120.93/x
  3. Step 3: Cross multiply
    364.34x = 546.57 × 120.93
  4. Step 4: Simplify right side
    364.34x = 66,096.71
  5. Step 5: Solve for x
    x = 66,096.71/364.34
  6. Step 6: Final answer
    x = 181.42

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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.