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Finding the Fourth Proportional to 152.02, 226.94 and 141.32

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Solution

The fourth proportional to 152.02, 226.94 and 141.32 is: 210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.02 : 226.94 = 141.32 : x
  2. Step 2: Convert to fraction form
    152.02/226.94 = 141.32/x
  3. Step 3: Cross multiply
    152.02x = 226.94 × 141.32
  4. Step 4: Simplify right side
    152.02x = 32,069.67
  5. Step 5: Solve for x
    x = 32,069.67/152.02
  6. Step 6: Final answer
    x = 210.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.