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Finding the Fourth Proportional to 501.41, 752.06 and 154.74

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Solution

The fourth proportional to 501.41, 752.06 and 154.74 is: 232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.41 : 752.06 = 154.74 : x
  2. Step 2: Convert to fraction form
    501.41/752.06 = 154.74/x
  3. Step 3: Cross multiply
    501.41x = 752.06 × 154.74
  4. Step 4: Simplify right side
    501.41x = 116,375.81
  5. Step 5: Solve for x
    x = 116,375.81/501.41
  6. Step 6: Final answer
    x = 232.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.