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Finding the Fourth Proportional to 306.47, 459.74 and 152.51

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Solution

The fourth proportional to 306.47, 459.74 and 152.51 is: 228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.47 : 459.74 = 152.51 : x
  2. Step 2: Convert to fraction form
    306.47/459.74 = 152.51/x
  3. Step 3: Cross multiply
    306.47x = 459.74 × 152.51
  4. Step 4: Simplify right side
    306.47x = 70,113.03
  5. Step 5: Solve for x
    x = 70,113.03/306.47
  6. Step 6: Final answer
    x = 228.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.