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Finding the Fourth Proportional to 624.81, 937.40 and 186.08

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Solution

The fourth proportional to 624.81, 937.40 and 186.08 is: 279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.81 : 937.40 = 186.08 : x
  2. Step 2: Convert to fraction form
    624.81/937.40 = 186.08/x
  3. Step 3: Cross multiply
    624.81x = 937.40 × 186.08
  4. Step 4: Simplify right side
    624.81x = 174,425.77
  5. Step 5: Solve for x
    x = 174,425.77/624.81
  6. Step 6: Final answer
    x = 279.17

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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.