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Finding the Fourth Proportional to 187.07, 257.51 and 145.55

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Solution

The fourth proportional to 187.07, 257.51 and 145.55 is: 200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.07 : 257.51 = 145.55 : x
  2. Step 2: Convert to fraction form
    187.07/257.51 = 145.55/x
  3. Step 3: Cross multiply
    187.07x = 257.51 × 145.55
  4. Step 4: Simplify right side
    187.07x = 37,478.57
  5. Step 5: Solve for x
    x = 37,478.57/187.07
  6. Step 6: Final answer
    x = 200.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.