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Finding the Fourth Proportional to 364.07, 545.88 and 158.54

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Solution

The fourth proportional to 364.07, 545.88 and 158.54 is: 237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.07 : 545.88 = 158.54 : x
  2. Step 2: Convert to fraction form
    364.07/545.88 = 158.54/x
  3. Step 3: Cross multiply
    364.07x = 545.88 × 158.54
  4. Step 4: Simplify right side
    364.07x = 86,541.09
  5. Step 5: Solve for x
    x = 86,541.09/364.07
  6. Step 6: Final answer
    x = 237.70

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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.