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Finding the Fourth Proportional to 188.17, 282.29 and 58.16

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Solution

The fourth proportional to 188.17, 282.29 and 58.16 is: 87.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.17 : 282.29 = 58.16 : x
  2. Step 2: Convert to fraction form
    188.17/282.29 = 58.16/x
  3. Step 3: Cross multiply
    188.17x = 282.29 × 58.16
  4. Step 4: Simplify right side
    188.17x = 16,416.72
  5. Step 5: Solve for x
    x = 16,416.72/188.17
  6. Step 6: Final answer
    x = 87.25

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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.