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Finding the Fourth Proportional to 319.58, 441 and 188.57

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Solution

The fourth proportional to 319.58, 441 and 188.57 is: 260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.58 : 441 = 188.57 : x
  2. Step 2: Convert to fraction form
    319.58/441 = 188.57/x
  3. Step 3: Cross multiply
    319.58x = 441 × 188.57
  4. Step 4: Simplify right side
    319.58x = 83,157.17
  5. Step 5: Solve for x
    x = 83,157.17/319.58
  6. Step 6: Final answer
    x = 260.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.