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Finding the Fourth Proportional to 651.14, 976.53 and 188.81

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Solution

The fourth proportional to 651.14, 976.53 and 188.81 is: 283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.14 : 976.53 = 188.81 : x
  2. Step 2: Convert to fraction form
    651.14/976.53 = 188.81/x
  3. Step 3: Cross multiply
    651.14x = 976.53 × 188.81
  4. Step 4: Simplify right side
    651.14x = 184,373.75
  5. Step 5: Solve for x
    x = 184,373.75/651.14
  6. Step 6: Final answer
    x = 283.16

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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.