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Finding the Fourth Proportional to 319.59, 440.85 and 188.50

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Solution

The fourth proportional to 319.59, 440.85 and 188.50 is: 260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.59 : 440.85 = 188.50 : x
  2. Step 2: Convert to fraction form
    319.59/440.85 = 188.50/x
  3. Step 3: Cross multiply
    319.59x = 440.85 × 188.50
  4. Step 4: Simplify right side
    319.59x = 83,100.23
  5. Step 5: Solve for x
    x = 83,100.23/319.59
  6. Step 6: Final answer
    x = 260.02

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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.