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Finding the Fourth Proportional to 414, 621 and 157.50

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Solution

The fourth proportional to 414, 621 and 157.50 is: 236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 621 = 157.50 : x
  2. Step 2: Convert to fraction form
    414/621 = 157.50/x
  3. Step 3: Cross multiply
    414x = 621 × 157.50
  4. Step 4: Simplify right side
    414x = 97,807.50
  5. Step 5: Solve for x
    x = 97,807.50/414
  6. Step 6: Final answer
    x = 236.25

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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.