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Finding the Fourth Proportional to 377.18, 565.56 and 117.07

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Solution

The fourth proportional to 377.18, 565.56 and 117.07 is: 175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.18 : 565.56 = 117.07 : x
  2. Step 2: Convert to fraction form
    377.18/565.56 = 117.07/x
  3. Step 3: Cross multiply
    377.18x = 565.56 × 117.07
  4. Step 4: Simplify right side
    377.18x = 66,210.11
  5. Step 5: Solve for x
    x = 66,210.11/377.18
  6. Step 6: Final answer
    x = 175.54

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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.