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Finding the Fourth Proportional to 365.60, 547.80 and 172.88

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Solution

The fourth proportional to 365.60, 547.80 and 172.88 is: 259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 547.80 = 172.88 : x
  2. Step 2: Convert to fraction form
    365.60/547.80 = 172.88/x
  3. Step 3: Cross multiply
    365.60x = 547.80 × 172.88
  4. Step 4: Simplify right side
    365.60x = 94,703.66
  5. Step 5: Solve for x
    x = 94,703.66/365.60
  6. Step 6: Final answer
    x = 259.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.