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Finding the Fourth Proportional to 243.51, 364.56 and 189.45

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Solution

The fourth proportional to 243.51, 364.56 and 189.45 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.51 : 364.56 = 189.45 : x
  2. Step 2: Convert to fraction form
    243.51/364.56 = 189.45/x
  3. Step 3: Cross multiply
    243.51x = 364.56 × 189.45
  4. Step 4: Simplify right side
    243.51x = 69,065.89
  5. Step 5: Solve for x
    x = 69,065.89/243.51
  6. Step 6: Final answer
    x = 283.63

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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.