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Finding the Fourth Proportional to 616.19, 924.27 and 183.35

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Solution

The fourth proportional to 616.19, 924.27 and 183.35 is: 275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.19 : 924.27 = 183.35 : x
  2. Step 2: Convert to fraction form
    616.19/924.27 = 183.35/x
  3. Step 3: Cross multiply
    616.19x = 924.27 × 183.35
  4. Step 4: Simplify right side
    616.19x = 169,460.28
  5. Step 5: Solve for x
    x = 169,460.28/616.19
  6. Step 6: Final answer
    x = 275.02

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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.