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Finding the Fourth Proportional to 243.39, 364.77 and 152.22

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Solution

The fourth proportional to 243.39, 364.77 and 152.22 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.39 : 364.77 = 152.22 : x
  2. Step 2: Convert to fraction form
    243.39/364.77 = 152.22/x
  3. Step 3: Cross multiply
    243.39x = 364.77 × 152.22
  4. Step 4: Simplify right side
    243.39x = 55,525.29
  5. Step 5: Solve for x
    x = 55,525.29/243.39
  6. Step 6: Final answer
    x = 228.13

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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.