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Finding the Fourth Proportional to 152.78, 210.49 and 115.93

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Solution

The fourth proportional to 152.78, 210.49 and 115.93 is: 159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.78 : 210.49 = 115.93 : x
  2. Step 2: Convert to fraction form
    152.78/210.49 = 115.93/x
  3. Step 3: Cross multiply
    152.78x = 210.49 × 115.93
  4. Step 4: Simplify right side
    152.78x = 24,402.11
  5. Step 5: Solve for x
    x = 24,402.11/152.78
  6. Step 6: Final answer
    x = 159.72

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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.