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Finding the Fourth Proportional to 188.16, 282.21 and 152.30

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Solution

The fourth proportional to 188.16, 282.21 and 152.30 is: 228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.16 : 282.21 = 152.30 : x
  2. Step 2: Convert to fraction form
    188.16/282.21 = 152.30/x
  3. Step 3: Cross multiply
    188.16x = 282.21 × 152.30
  4. Step 4: Simplify right side
    188.16x = 42,980.58
  5. Step 5: Solve for x
    x = 42,980.58/188.16
  6. Step 6: Final answer
    x = 228.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.