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Finding the Fourth Proportional to 152.34, 210.14 and 142.02

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Solution

The fourth proportional to 152.34, 210.14 and 142.02 is: 195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.34 : 210.14 = 142.02 : x
  2. Step 2: Convert to fraction form
    152.34/210.14 = 142.02/x
  3. Step 3: Cross multiply
    152.34x = 210.14 × 142.02
  4. Step 4: Simplify right side
    152.34x = 29,844.08
  5. Step 5: Solve for x
    x = 29,844.08/152.34
  6. Step 6: Final answer
    x = 195.90

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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.