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Finding the Fourth Proportional to 314.93, 471.99 and 152.53

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Solution

The fourth proportional to 314.93, 471.99 and 152.53 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.93 : 471.99 = 152.53 : x
  2. Step 2: Convert to fraction form
    314.93/471.99 = 152.53/x
  3. Step 3: Cross multiply
    314.93x = 471.99 × 152.53
  4. Step 4: Simplify right side
    314.93x = 71,992.63
  5. Step 5: Solve for x
    x = 71,992.63/314.93
  6. Step 6: Final answer
    x = 228.60

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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.