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Finding the Fourth Proportional to 364.59, 546.71 and 133.31

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Solution

The fourth proportional to 364.59, 546.71 and 133.31 is: 199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.59 : 546.71 = 133.31 : x
  2. Step 2: Convert to fraction form
    364.59/546.71 = 133.31/x
  3. Step 3: Cross multiply
    364.59x = 546.71 × 133.31
  4. Step 4: Simplify right side
    364.59x = 72,878.51
  5. Step 5: Solve for x
    x = 72,878.51/364.59
  6. Step 6: Final answer
    x = 199.89

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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.