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Finding the Fourth Proportional to 364.60, 546.74 and 108.04

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Solution

The fourth proportional to 364.60, 546.74 and 108.04 is: 162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.60 : 546.74 = 108.04 : x
  2. Step 2: Convert to fraction form
    364.60/546.74 = 108.04/x
  3. Step 3: Cross multiply
    364.60x = 546.74 × 108.04
  4. Step 4: Simplify right side
    364.60x = 59,069.79
  5. Step 5: Solve for x
    x = 59,069.79/364.60
  6. Step 6: Final answer
    x = 162.01

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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.