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Finding the Fourth Proportional to 315.37, 435.16 and 175.47

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Solution

The fourth proportional to 315.37, 435.16 and 175.47 is: 242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.37 : 435.16 = 175.47 : x
  2. Step 2: Convert to fraction form
    315.37/435.16 = 175.47/x
  3. Step 3: Cross multiply
    315.37x = 435.16 × 175.47
  4. Step 4: Simplify right side
    315.37x = 76,357.09
  5. Step 5: Solve for x
    x = 76,357.09/315.37
  6. Step 6: Final answer
    x = 242.12

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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.