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Finding the Fourth Proportional to 152.39, 210.41 and 105.74

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Solution

The fourth proportional to 152.39, 210.41 and 105.74 is: 146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.39 : 210.41 = 105.74 : x
  2. Step 2: Convert to fraction form
    152.39/210.41 = 105.74/x
  3. Step 3: Cross multiply
    152.39x = 210.41 × 105.74
  4. Step 4: Simplify right side
    152.39x = 22,248.75
  5. Step 5: Solve for x
    x = 22,248.75/152.39
  6. Step 6: Final answer
    x = 146.00

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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.