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Finding the Fourth Proportional to 364.35, 546.66 and 148.08

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Solution

The fourth proportional to 364.35, 546.66 and 148.08 is: 222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.35 : 546.66 = 148.08 : x
  2. Step 2: Convert to fraction form
    364.35/546.66 = 148.08/x
  3. Step 3: Cross multiply
    364.35x = 546.66 × 148.08
  4. Step 4: Simplify right side
    364.35x = 80,949.41
  5. Step 5: Solve for x
    x = 80,949.41/364.35
  6. Step 6: Final answer
    x = 222.17

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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.