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Finding the Fourth Proportional to 563.10, 844.55 and 152.18

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Solution

The fourth proportional to 563.10, 844.55 and 152.18 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 844.55 = 152.18 : x
  2. Step 2: Convert to fraction form
    563.10/844.55 = 152.18/x
  3. Step 3: Cross multiply
    563.10x = 844.55 × 152.18
  4. Step 4: Simplify right side
    563.10x = 128,526.11
  5. Step 5: Solve for x
    x = 128,526.11/563.10
  6. Step 6: Final answer
    x = 228.25

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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.