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Finding the Fourth Proportional to 210.32, 315.24 and 114

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Solution

The fourth proportional to 210.32, 315.24 and 114 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.32 : 315.24 = 114 : x
  2. Step 2: Convert to fraction form
    210.32/315.24 = 114/x
  3. Step 3: Cross multiply
    210.32x = 315.24 × 114
  4. Step 4: Simplify right side
    210.32x = 35,937.36
  5. Step 5: Solve for x
    x = 35,937.36/210.32
  6. Step 6: Final answer
    x = 170.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.