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Finding the Fourth Proportional to 364.64, 546.68 and 172.22

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Solution

The fourth proportional to 364.64, 546.68 and 172.22 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.64 : 546.68 = 172.22 : x
  2. Step 2: Convert to fraction form
    364.64/546.68 = 172.22/x
  3. Step 3: Cross multiply
    364.64x = 546.68 × 172.22
  4. Step 4: Simplify right side
    364.64x = 94,146.93
  5. Step 5: Solve for x
    x = 94,146.93/364.64
  6. Step 6: Final answer
    x = 258.19

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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.