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Finding the Fourth Proportional to 364.16, 546.28 and 120.76

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Solution

The fourth proportional to 364.16, 546.28 and 120.76 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 546.28 = 120.76 : x
  2. Step 2: Convert to fraction form
    364.16/546.28 = 120.76/x
  3. Step 3: Cross multiply
    364.16x = 546.28 × 120.76
  4. Step 4: Simplify right side
    364.16x = 65,968.77
  5. Step 5: Solve for x
    x = 65,968.77/364.16
  6. Step 6: Final answer
    x = 181.15

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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.