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Finding the Fourth Proportional to 599.32, 898.54 and 188.22

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Solution

The fourth proportional to 599.32, 898.54 and 188.22 is: 282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.32 : 898.54 = 188.22 : x
  2. Step 2: Convert to fraction form
    599.32/898.54 = 188.22/x
  3. Step 3: Cross multiply
    599.32x = 898.54 × 188.22
  4. Step 4: Simplify right side
    599.32x = 169,123.20
  5. Step 5: Solve for x
    x = 169,123.20/599.32
  6. Step 6: Final answer
    x = 282.19

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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.