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Finding the Fourth Proportional to 315.32, 435.08 and 184.31

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Solution

The fourth proportional to 315.32, 435.08 and 184.31 is: 254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.32 : 435.08 = 184.31 : x
  2. Step 2: Convert to fraction form
    315.32/435.08 = 184.31/x
  3. Step 3: Cross multiply
    315.32x = 435.08 × 184.31
  4. Step 4: Simplify right side
    315.32x = 80,188.19
  5. Step 5: Solve for x
    x = 80,188.19/315.32
  6. Step 6: Final answer
    x = 254.30

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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.