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Finding the Fourth Proportional to 212.34, 318.52 and 140.16

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Solution

The fourth proportional to 212.34, 318.52 and 140.16 is: 210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.34 : 318.52 = 140.16 : x
  2. Step 2: Convert to fraction form
    212.34/318.52 = 140.16/x
  3. Step 3: Cross multiply
    212.34x = 318.52 × 140.16
  4. Step 4: Simplify right side
    212.34x = 44,643.76
  5. Step 5: Solve for x
    x = 44,643.76/212.34
  6. Step 6: Final answer
    x = 210.25

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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.