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Finding the Fourth Proportional to 517.40, 776.14 and 152.16

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Solution

The fourth proportional to 517.40, 776.14 and 152.16 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.40 : 776.14 = 152.16 : x
  2. Step 2: Convert to fraction form
    517.40/776.14 = 152.16/x
  3. Step 3: Cross multiply
    517.40x = 776.14 × 152.16
  4. Step 4: Simplify right side
    517.40x = 118,097.46
  5. Step 5: Solve for x
    x = 118,097.46/517.40
  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.