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Finding the Fourth Proportional to 315.66, 435.59 and 197.65

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Solution

The fourth proportional to 315.66, 435.59 and 197.65 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.66 : 435.59 = 197.65 : x
  2. Step 2: Convert to fraction form
    315.66/435.59 = 197.65/x
  3. Step 3: Cross multiply
    315.66x = 435.59 × 197.65
  4. Step 4: Simplify right side
    315.66x = 86,094.66
  5. Step 5: Solve for x
    x = 86,094.66/315.66
  6. Step 6: Final answer
    x = 272.74

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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.