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Finding the Fourth Proportional to 152.41, 210.50 and 115.50

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Solution

The fourth proportional to 152.41, 210.50 and 115.50 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.41 : 210.50 = 115.50 : x
  2. Step 2: Convert to fraction form
    152.41/210.50 = 115.50/x
  3. Step 3: Cross multiply
    152.41x = 210.50 × 115.50
  4. Step 4: Simplify right side
    152.41x = 24,312.80
  5. Step 5: Solve for x
    x = 24,312.80/152.41
  6. Step 6: Final answer
    x = 159.53

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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.