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Finding the Fourth Proportional to 187.51, 282.35 and 139.10

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Solution

The fourth proportional to 187.51, 282.35 and 139.10 is: 209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.51 : 282.35 = 139.10 : x
  2. Step 2: Convert to fraction form
    187.51/282.35 = 139.10/x
  3. Step 3: Cross multiply
    187.51x = 282.35 × 139.10
  4. Step 4: Simplify right side
    187.51x = 39,274.35
  5. Step 5: Solve for x
    x = 39,274.35/187.51
  6. Step 6: Final answer
    x = 209.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.