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Finding the Fourth Proportional to 612.48, 918.86 and 201.58

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Solution

The fourth proportional to 612.48, 918.86 and 201.58 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.48 : 918.86 = 201.58 : x
  2. Step 2: Convert to fraction form
    612.48/918.86 = 201.58/x
  3. Step 3: Cross multiply
    612.48x = 918.86 × 201.58
  4. Step 4: Simplify right side
    612.48x = 185,225.66
  5. Step 5: Solve for x
    x = 185,225.66/612.48
  6. Step 6: Final answer
    x = 302.42

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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.