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Finding the Fourth Proportional to 364.61, 546.57 and 188.87

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Solution

The fourth proportional to 364.61, 546.57 and 188.87 is: 283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.61 : 546.57 = 188.87 : x
  2. Step 2: Convert to fraction form
    364.61/546.57 = 188.87/x
  3. Step 3: Cross multiply
    364.61x = 546.57 × 188.87
  4. Step 4: Simplify right side
    364.61x = 103,227.94
  5. Step 5: Solve for x
    x = 103,227.94/364.61
  6. Step 6: Final answer
    x = 283.12

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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.