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Finding the Fourth Proportional to 315.68, 435.70 and 184.76

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Solution

The fourth proportional to 315.68, 435.70 and 184.76 is: 255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.68 : 435.70 = 184.76 : x
  2. Step 2: Convert to fraction form
    315.68/435.70 = 184.76/x
  3. Step 3: Cross multiply
    315.68x = 435.70 × 184.76
  4. Step 4: Simplify right side
    315.68x = 80,499.93
  5. Step 5: Solve for x
    x = 80,499.93/315.68
  6. Step 6: Final answer
    x = 255.00

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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.