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Finding the Fourth Proportional to 152.56, 210.34 and 140.32

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Solution

The fourth proportional to 152.56, 210.34 and 140.32 is: 193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 210.34 = 140.32 : x
  2. Step 2: Convert to fraction form
    152.56/210.34 = 140.32/x
  3. Step 3: Cross multiply
    152.56x = 210.34 × 140.32
  4. Step 4: Simplify right side
    152.56x = 29,514.91
  5. Step 5: Solve for x
    x = 29,514.91/152.56
  6. Step 6: Final answer
    x = 193.46

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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.