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Finding the Fourth Proportional to 152.16, 208.86 and 137.58

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Solution

The fourth proportional to 152.16, 208.86 and 137.58 is: 188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 208.86 = 137.58 : x
  2. Step 2: Convert to fraction form
    152.16/208.86 = 137.58/x
  3. Step 3: Cross multiply
    152.16x = 208.86 × 137.58
  4. Step 4: Simplify right side
    152.16x = 28,734.96
  5. Step 5: Solve for x
    x = 28,734.96/152.16
  6. Step 6: Final answer
    x = 188.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.