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Finding the Fourth Proportional to 285.07, 392.91 and 186.67

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Solution

The fourth proportional to 285.07, 392.91 and 186.67 is: 257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.07 : 392.91 = 186.67 : x
  2. Step 2: Convert to fraction form
    285.07/392.91 = 186.67/x
  3. Step 3: Cross multiply
    285.07x = 392.91 × 186.67
  4. Step 4: Simplify right side
    285.07x = 73,344.51
  5. Step 5: Solve for x
    x = 73,344.51/285.07
  6. Step 6: Final answer
    x = 257.29

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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.